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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.68299/3+1 = (300/(x+300))/(300/(x+564.55)) .
    Question type: Equation
    Solution:Original question:
     
68299
100000
÷ 3 + 1 = (300 ÷ ( x + 300)) ÷ (300 ÷ ( x +
11291
20
))
     Multiply both sides of the equation by:(300 ÷ ( x +
11291
20
))
     
68299
100000
÷ 3 × (300 ÷ ( x +
11291
20
)) + 1(300 ÷ ( x +
11291
20
)) = (300 ÷ ( x + 300))
    Remove a bracket on the left of the equation::
     
68299
100000
÷ 3 × 300 ÷ ( x +
11291
20
) + 1(300 ÷ ( x +
11291
20
)) = (300 ÷ ( x + 300))
    Remove a bracket on the right of the equation::
     
68299
100000
÷ 3 × 300 ÷ ( x +
11291
20
) + 1(300 ÷ ( x +
11291
20
)) = 300 ÷ ( x + 300)
    The equation is reduced to :
     
68299
1000
÷ ( x +
11291
20
) + 1(300 ÷ ( x +
11291
20
)) = 300 ÷ ( x + 300)
     Multiply both sides of the equation by:( x +
11291
20
) ,  ( x + 300)
     
68299
1000
( x + 300) + 1(300 ÷ ( x +
11291
20
))( x +
11291
20
)( x + 300) = 300( x +
11291
20
)
    Remove a bracket on the left of the equation:
     
68299
1000
x +
68299
1000
× 300 + 1(300 ÷ ( x +
11291
20
))( x +
11291
20
)( x + 300) = 300( x +
11291
20
)
    Remove a bracket on the right of the equation::
     
68299
1000
x +
68299
1000
× 300 + 1(300 ÷ ( x +
11291
20
))( x +
11291
20
)( x + 300) = 300 x + 300 ×
11291
20
    The equation is reduced to :
     
68299
1000
x +
204897
10
+ 1(300 ÷ ( x +
11291
20
))( x +
11291
20
)( x + 300) = 300 x + 169365
    Remove a bracket on the left of the equation:
     
68299
1000
x +
204897
10
+ 1 × 300 ÷ ( x +
11291
20
) × ( x +
11291
20
)( x + 300) = 300 x + 169365
    The equation is reduced to :
     
68299
1000
x +
204897
10
+ 300 ÷ ( x +
11291
20
) × ( x +
11291
20
)( x + 300) = 300 x + 169365
     Multiply both sides of the equation by:( x +
11291
20
)
     
68299
1000
x ( x +
11291
20
) +
204897
10
( x +
11291
20
) + 300( x +
11291
20
)( x + 300) = 300 x ( x +
11291
20
) + 169365( x +
11291
20
)
    Remove a bracket on the left of the equation:
     
68299
1000
x x +
68299
1000
x ×
11291
20
+
204897
10
( x +
11291
20
) + 300( x +
11291
20
)( x + 300) = 300 x ( x +
11291
20
) + 169365( x +
11291
20
)
    Remove a bracket on the right of the equation::
     
68299
1000
x x +
68299
1000
x ×
11291
20
+
204897
10
( x +
11291
20
) + 300( x +
11291
20
)( x + 300) = 300 x x + 300 x ×
11291
20
+ 169365( x +
11291
20
)
    The equation is reduced to :
     
68299
1000
x x +
771164009
20000
x +
204897
10
( x +
11291
20
) + 300( x +
11291
20
)( x + 300) = 300 x x + 169365 x + 169365( x +
11291
20
)
    Remove a bracket on the left of the equation:
     
68299
1000
x x +
771164009
20000
x +
204897
10
x +
204897
10
×
11291
20
+ 300( x +
11291
20
)( x + 300) = 300 x x + 169365 x + 169365( x +
11291
20
)
    Remove a bracket on the right of the equation::
     
68299
1000
x x +
771164009
20000
x +
204897
10
x +
204897
10
×
11291
20
+ 300( x +
11291
20
)( x + 300) = 300 x x + 169365 x + 169365 x + 169365 ×
11291
20
    The equation is reduced to :
     
68299
1000
x x +
771164009
20000
x +
204897
10
x +
2313492027
200
+ 300( x +
11291
20
)( x + 300) = 300 x x + 169365 x + 169365 x +
382460043
4

    
        x≈862.022870 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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