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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 (10000-((10000/70)-(27600/(x+70.4)))*(x+70.4))/(x+10.4)+(10000/70) = 150 .
    Question type: Equation
    Solution:Original question:
     (10000 − ((10000 ÷ 70) − (27600 ÷ ( x +
352
5
)))( x +
352
5
)) ÷ ( x +
52
5
) + (10000 ÷ 70) = 150
     Multiply both sides of the equation by:( x +
52
5
)
     (10000 − ((10000 ÷ 70) − (27600 ÷ ( x +
352
5
)))( x +
352
5
)) + (10000 ÷ 70)( x +
52
5
) = 150( x +
52
5
)
    Remove a bracket on the left of the equation:：
     10000 − ((10000 ÷ 70) − (27600 ÷ ( x +
352
5
)))( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150( x +
52
5
)
    Remove a bracket on the right of the equation:：
     10000 − ((10000 ÷ 70) − (27600 ÷ ( x +
352
5
)))( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150 x + 150 ×
52
5
    The equation is reduced to :
     10000 − ((10000 ÷ 70) − (27600 ÷ ( x +
352
5
)))( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    Remove a bracket on the left of the equation:
     10000 − (10000 ÷ 70)( x +
352
5
) + (27600 ÷ ( x +
352
5
))( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    Remove a bracket on the left of the equation:
     10000 − 10000 ÷ 70 × ( x +
352
5
) + (27600 ÷ ( x +
352
5
))( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    The equation is reduced to :
     10000 −
1000
7
( x +
352
5
) + (27600 ÷ ( x +
352
5
))( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    Remove a bracket on the left of the equation:
     10000 −
1000
7
 x −
1000
7
 ×
352
5
 + (27600 ÷ ( x +
352
5
))( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    The equation is reduced to :
     10000 −
1000
7
 x −
70400
7
 + (27600 ÷ ( x +
352
5
))( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    The equation is reduced to :
      -
400
7
 −
1000
7
 x + (27600 ÷ ( x +
352
5
))( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    Remove a bracket on the left of the equation:
      -
400
7
 −
1000
7
 x + 27600 ÷ ( x +
352
5
) × ( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
     Multiply both sides of the equation by:( x +
352
5
)
      -
400
7
( x +
352
5
) −
1000
7
 x ( x +
352
5
) + 27600( x +
352
5
) + (10000 ÷ 70)( x +
52
5
)( x +
352
5
) = 150 x ( x +
352
5
) + 1560( x +
352
5
)
    Remove a bracket on the left of the equation:
      -
400
7
 x −
400
7
 ×
352
5
 −
1000
7
 x ( x +
352
5
) + 27600( x +
352
5
) + (10000 ÷ 70)( x +
52
5
)( x +
352
5
) = 150 x ( x +
352
5
) + 1560( x +
352
5
)
    Remove a bracket on the right of the equation:：
      -
400
7
 x −
400
7
 ×
352
5
 −
1000
7
 x ( x +
352
5
) + 27600( x +
352
5
) + (10000 ÷ 70)( x +
52
5
)( x +
352
5
) = 150 x x + 150 x ×
352
5
 + 1560( x +
352
5
)
    The equation is reduced to :
      -
400
7
 x −
28160
7
 −
1000
7
 x ( x +
352
5
) + 27600( x +
352
5
) + (10000 ÷ 70)( x +
52
5
)( x +
352
5
) = 150 x x + 10560 x + 1560( x +
352
5
)
    Remove a bracket on the left of the equation:
      -
400
7
 x −
28160
7
 −
1000
7
 x x −
1000
7
 x ×
352
5
 + 27600( x +
352
5
) + (10000 ÷ 70) = 150 x x + 10560 x + 1560( x +
352
5
)
    Remove a bracket on the right of the equation:：
      -
400
7
 x −
28160
7
 −
1000
7
 x x −
1000
7
 x ×
352
5
 + 27600( x +
352
5
) + (10000 ÷ 70) = 150 x x + 10560 x + 1560 x + 1560 ×
352
5
    The equation is reduced to :
      -
400
7
 x −
28160
7
 −
1000
7
 x x −
70400
7
 x + 27600( x +
352
5
) + (10000 ÷ 70)( x +
52
5
) = 150 x x + 10560 x + 1560 x + 109824
    The equation is reduced to :
      -
70800
7
 x −
28160
7
 −
1000
7
 x x + 27600( x +
352
5
) + (10000 ÷ 70)( x +
52
5
)( x +
352
5
) = 150 x x + 12120 x + 109824
    Remove a bracket on the left of the equation:
      -
70800
7
 x −
28160
7
 −
1000
7
 x x + 27600 x + 27600 ×
352
5
 + (10000 ÷ 70)( x +
52
5
) = 150 x x + 12120 x + 109824
    The equation is reduced to :
      -
70800
7
 x −
28160
7
 −
1000
7
 x x + 27600 x + 1943040 + (10000 ÷ 70)( x +
52
5
)( x +
352
5
) = 150 x x + 12120 x + 109824
    The equation is reduced to :
     
122400
7
 x +
13573120
7
 −
1000
7
 x x + (10000 ÷ 70)( x +
52
5
)( x +
352
5
) = 150 x x + 12120 x + 109824
    Remove a bracket on the left of the equation:
     
122400
7
 x +
13573120
7
 −
1000
7
 x x + 10000 ÷ 70 × ( x +
52
5
)( x +
352
5
) = 150 x x + 12120 x + 109824

    
        x≈183.123810 , 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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