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    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.036313 = 1/(1-((x+1200)/((x+1200)+91634.4)+0.05+0.025+0.1))-1/(1-(x/(x+91634.4)+0.05+0.025+0.1)) .
    Question type: Equation
    Solution:Original question:
     
36313
1000000
= 1 ÷ (1(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
))1 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
     Multiply both sides of the equation by:(1(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
))
     
36313
1000000
(1(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)) = 11 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) × (1(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
))
    Remove a bracket on the left of the equation::
     
36313
1000000
× 1
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
) = 11 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) × (1(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
))
    Remove a bracket on the right of the equation::
     
36313
1000000
× 1
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
) = 11 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) × 1 + 1 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) × (( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)
    The equation is reduced to :
     
36313
1000000
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
) = 11 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) + 1 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) × (( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)
     Multiply both sides of the equation by:(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
     
36313
1000000
(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) = 1(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))1 + 1 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) × (( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
    Remove a bracket on the left of the equation:
     
36313
1000000
× 1
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) = 1(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))1 + 1 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) × (( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
    Remove a bracket on the right of the equation::
     
36313
1000000
× 1
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) = 1 × 11( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)1 + 1 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) × (( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
    The equation is reduced to :
     
36313
1000000
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) = 11( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)1 + 1 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) × (( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
    The equation is reduced to :
     
36313
1000000
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) = 01( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
) + 1 ÷ (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) × (( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
     Multiply both sides of the equation by:(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
     
36313
1000000
(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) = - 1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) + 1(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
    Remove a bracket on the left of the equation:
     
36313
1000000
× 1
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) = - 1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) + 1(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
    Remove a bracket on the right of the equation::
     
36313
1000000
× 1
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) = - 1 x ÷ ( x +
458172
5
) × (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))1 ×
1
20
(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))1 ×
1
40
(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))1 ×
1
10
    The equation is reduced to :
     
36313
1000000
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)
36313
1000000
( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
36313
1000000
(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+
1
40
+
1
10
)(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) = - 1 x ÷ ( x +
458172
5
) × (1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
1
20
(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
1
40
(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
))
1
10
(1( x ÷ ( x +
458172
5
) +
1
20
+
1
40
+
1
10
)) + 1(( x + 1200) ÷ (( x + 1200) +
458172
5
) +
1
20
+

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