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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 7500/(x+52+12.48+10.4)+10000/(x+52+10.4)+10000/(x+10.4)*3 = 143 .
    Question type: Equation
    Solution:Original question:
     7500 ÷ ( x + 52 +
312
25
 +
52
5
) + 10000 ÷ ( x + 52 +
52
5
) + 10000 ÷ ( x +
52
5
) × 3 = 143
     Multiply both sides of the equation by:( x + 52 +
312
25
 +
52
5
)
     7500 + 10000 ÷ ( x + 52 +
52
5
) × ( x + 52 +
312
25
 +
52
5
) + 10000 ÷ ( x +
52
5
) × 3( x + 52 +
312
25
 +
52
5
) = 143( x + 52 +
312
25
 +
52
5
)
    Remove a bracket on the left of the equation:：
     7500 + 10000 ÷ ( x + 52 +
52
5
) × x + 10000 ÷ ( x + 52 +
52
5
) × 52 + 10000 ÷ ( x + 52 +
52
5
) ×
312
25
 + 10000 ÷ ( x + 52 +
52
5
) = 143( x + 52 +
312
25
 +
52
5
)
    Remove a bracket on the right of the equation:：
     7500 + 10000 ÷ ( x + 52 +
52
5
) × x + 10000 ÷ ( x + 52 +
52
5
) × 52 + 10000 ÷ ( x + 52 +
52
5
) ×
312
25
 + 10000 ÷ ( x + 52 +
52
5
) = 143 x + 143 × 52 + 143 ×
312
25
 + 143 ×
52
5
    The equation is reduced to :
     7500 + 10000 ÷ ( x + 52 +
52
5
) × x + 520000 ÷ ( x + 52 +
52
5
) + 124800 ÷ ( x + 52 +
52
5
) + 104000 ÷ ( x + 52 +
52
5
) + 30000 ÷ ( x +
52
5
) = 143 x + 7436 +
44616
25
 +
7436
5
    The equation is reduced to :
     7500 + 10000 ÷ ( x + 52 +
52
5
) × x + 520000 ÷ ( x + 52 +
52
5
) + 124800 ÷ ( x + 52 +
52
5
) + 104000 ÷ ( x + 52 +
52
5
) + 30000 ÷ ( x +
52
5
) = 143 x +
267696
25
     Multiply both sides of the equation by:( x + 52 +
52
5
)
     7500( x + 52 +
52
5
) + 10000 x + 520000 + 124800 + 104000 + 30000 ÷ ( x +
52
5
) × ( x + 52 +
312
25
 +
52
5
)( x + 52 +
52
5
) = 143 x ( x + 52 +
52
5
) +
267696
25
( x + 52 +
52
5
)
    Remove a bracket on the left of the equation:
     7500 x + 7500 × 52 + 7500 ×
52
5
 + 10000 x + 520000 + 124800 + 104000 + 30000 = 143 x ( x + 52 +
52
5
) +
267696
25
( x + 52 +
52
5
)
    Remove a bracket on the right of the equation:：
     7500 x + 7500 × 52 + 7500 ×
52
5
 + 10000 x + 520000 + 124800 + 104000 + 30000 = 143 x x + 143 x × 52 + 143 x ×
52
5
 +
267696
25
( x + 52 +
52
5
)
    The equation is reduced to :
     7500 x + 390000 + 78000 + 10000 x + 520000 + 124800 + 104000 + 30000 ÷ ( x +
52
5
) × ( x + 52 +
312
25
 +
52
5
) = 143 x x + 7436 x +
7436
5
 x +
267696
25
( x + 52 +
52
5
)
    The equation is reduced to :
     17500 x + 1216800 + 30000 ÷ ( x +
52
5
) × ( x + 52 +
312
25
 +
52
5
)( x + 52 +
52
5
) = 143 x x +
44616
5
 x +
267696
25
( x + 52 +
52
5
)
     Multiply both sides of the equation by:( x +
52
5
)
     17500 x ( x +
52
5
) + 1216800( x +
52
5
) + 30000( x + 52 +
312
25
 +
52
5
)( x + 52 +
52
5
) = 143 x x ( x +
52
5
) +
44616
5
 x ( x +
52
5
) +
267696
25
( x + 52 +
52
5
)( x +
52
5
)
    Remove a bracket on the left of the equation:
     17500 x x + 17500 x ×
52
5
 + 1216800( x +
52
5
) + 30000( x + 52 +
312
25
 +
52
5
)( x + 52 +
52
5
) = 143 x x ( x +
52
5
) +
44616
5
 x ( x +
52
5
) +
267696
25
( x + 52 +
52
5
)( x +
52
5
)
    Remove a bracket on the right of the equation:：
     17500 x x + 17500 x ×
52
5
 + 1216800( x +
52
5
) + 30000( x + 52 +
312
25
 +
52
5
)( x + 52 +
52
5
) = 143 x x x + 143 x x ×
52
5
 +
44616
5
 x ( x +
52
5
) +
267696
25
    The equation is reduced to :
     17500 x x + 182000 x + 1216800( x +
52
5
) + 30000( x + 52 +
312
25
 +
52
5
)( x + 52 +
52
5
) = 143 x x x +
7436
5
 x x +
44616
5
 x ( x +
52
5
) +
267696
25
( x + 52 +
52
5
)
    Remove a bracket on the left of the equation:
     17500 x x + 182000 x + 1216800 x + 1216800 ×
52
5
 + 30000( x + 52 +
312
25
 +
52
5
)( x + 52 +
52
5
) = 143 x x x +
7436
5
 x x +
44616
5
 x ( x +
52
5
) +
267696
25
( x + 52 +
52
5
)
    Remove a bracket on the right of the equation:：
     17500 x x + 182000 x + 1216800 x + 1216800 ×
52
5
 + 30000( x + 52 +
312
25
 +
52
5
)( x + 52 +
52
5
) = 143 x x x +
7436
5
 x x +
44616
5
 x x +
44616
5
 x
    The equation is reduced to :
     17500 x x + 182000 x + 1216800 x + 12654720 + 30000( x + 52 +
312
25
 +
52
5
)( x + 52 +
52
5
) = 143 x x x +
7436
5
 x x +
44616
5
 x x +
2320032
25
 x
    The equation is reduced to :
     17500 x x + 1398800 x + 12654720 + 30000( x + 52 +
312
25
 +
52
5
)( x + 52 +
52
5
) = 143 x x x +
7436
5
 x x +
44616
5
 x x +
2320032
25
 x
    Remove a bracket on the left of the equation:
     17500 x x + 1398800 x + 12654720 + 30000 x ( x + 52 +
52
5
) + 30000 × 52( x + 52 +
52
5
) = 143 x x x +
7436
5
 x x +
44616
5
 x x +
2320032
25
 x
    Remove a bracket on the right of the equation:：
     17500 x x + 1398800 x + 12654720 + 30000 x ( x + 52 +
52
5
) + 30000 × 52( x + 52 +
52
5
) = 143 x x x +
7436
5
 x x +
44616
5
 x x +
2320032
25
 x
    The equation is reduced to :
     17500 x x + 1398800 x + 12654720 + 30000 x ( x + 52 +
52
5
) + 1560000( x + 52 +
52
5
) + 374400 = 143 x x x +
7436
5
 x x +
44616
5
 x x +
2320032
25
 x
    Remove a bracket on the left of the equation:
     17500 x x + 1398800 x + 12654720 + 30000 x x + 30000 x × 52 = 143 x x x +
7436
5
 x x +
44616
5
 x x +
2320032
25
 x

    The solution of the equation:
        x1≈-70.786532 , keep 6 decimal places
        x2≈-47.585126 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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