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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+9.9+11.88）+10000/（x+9.9）+10000/240 = 143 .
    Question type: Equation
    Solution:Original question:
     7500 ÷ ( x +
99
10
 +
297
25
) + 10000 ÷ ( x +
99
10
) + 10000 ÷ 240 = 143
     Multiply both sides of the equation by:( x +
99
10
 +
297
25
)
     7500 + 10000 ÷ ( x +
99
10
) × ( x +
99
10
 +
297
25
) + 10000 ÷ 240 × ( x +
99
10
 +
297
25
) = 143( x +
99
10
 +
297
25
)
    Remove a bracket on the left of the equation:：
     7500 + 10000 ÷ ( x +
99
10
) × x + 10000 ÷ ( x +
99
10
) ×
99
10
 + 10000 ÷ ( x +
99
10
) ×
297
25
 + 10000 ÷ 240 = 143( x +
99
10
 +
297
25
)
    Remove a bracket on the right of the equation:：
     7500 + 10000 ÷ ( x +
99
10
) × x + 10000 ÷ ( x +
99
10
) ×
99
10
 + 10000 ÷ ( x +
99
10
) ×
297
25
 + 10000 ÷ 240 = 143 x + 143 ×
99
10
 + 143 ×
297
25
    The equation is reduced to :
     7500 + 10000 ÷ ( x +
99
10
) × x + 99000 ÷ ( x +
99
10
) + 118800 ÷ ( x +
99
10
) +
125
3
( x +
99
10
 +
297
25
) = 143 x +
14157
10
 +
42471
25
    The equation is reduced to :
     7500 + 10000 ÷ ( x +
99
10
) × x + 99000 ÷ ( x +
99
10
) + 118800 ÷ ( x +
99
10
) +
125
3
( x +
99
10
 +
297
25
) = 143 x +
155727
50
     Multiply both sides of the equation by:( x +
99
10
)
     7500( x +
99
10
) + 10000 x + 99000 + 118800 +
125
3
( x +
99
10
 +
297
25
)( x +
99
10
) = 143 x ( x +
99
10
) +
155727
50
( x +
99
10
)
    Remove a bracket on the left of the equation:
     7500 x + 7500 ×
99
10
 + 10000 x + 99000 + 118800 +
125
3
( x +
99
10
 +
297
25
)( x +
99
10
) = 143 x ( x +
99
10
) +
155727
50
( x +
99
10
)
    Remove a bracket on the right of the equation:：
     7500 x + 7500 ×
99
10
 + 10000 x + 99000 + 118800 +
125
3
( x +
99
10
 +
297
25
)( x +
99
10
) = 143 x x + 143 x ×
99
10
 +
155727
50
( x +
99
10
)
    The equation is reduced to :
     7500 x + 74250 + 10000 x + 99000 + 118800 +
125
3
( x +
99
10
 +
297
25
)( x +
99
10
) = 143 x x +
14157
10
 x +
155727
50
( x +
99
10
)
    The equation is reduced to :
     17500 x + 292050 +
125
3
( x +
99
10
 +
297
25
)( x +
99
10
) = 143 x x +
14157
10
 x +
155727
50
( x +
99
10
)
    Remove a bracket on the left of the equation:
     17500 x + 292050 +
125
3
 x ( x +
99
10
) +
125
3
 ×
99
10
( x +
99
10
) +
125
3
 ×
297
25
( x +
99
10
) = 143 x x +
14157
10
 x +
155727
50
( x +
99
10
)
    Remove a bracket on the right of the equation:：
     17500 x + 292050 +
125
3
 x ( x +
99
10
) +
125
3
 ×
99
10
( x +
99
10
) +
125
3
 ×
297
25
( x +
99
10
) = 143 x x +
14157
10
 x +
155727
50
 x +
155727
50
 ×
99
10
    The equation is reduced to :
     17500 x + 292050 +
125
3
 x ( x +
99
10
) +
825
2
( x +
99
10
) + 495( x +
99
10
) = 143 x x +
14157
10
 x +
155727
50
 x +
15416973
500
    The equation is reduced to :
     17500 x + 292050 +
125
3
 x ( x +
99
10
) +
825
2
( x +
99
10
) + 495( x +
99
10
) = 143 x x +
113256
25
 x +
15416973
500
    Remove a bracket on the left of the equation:
     17500 x + 292050 +
125
3
 x x +
125
3
 x ×
99
10
 +
825
2
( x +
99
10
) + 495 = 143 x x +
113256
25
 x +
15416973
500
    The equation is reduced to :
     17500 x + 292050 +
125
3
 x x +
825
2
 x +
825
2
( x +
99
10
) + 495( x +
99
10
) = 143 x x +
113256
25
 x +
15416973
500
    The equation is reduced to :
     
35825
2
 x + 292050 +
125
3
 x x +
825
2
( x +
99
10
) + 495( x +
99
10
) = 143 x x +
113256
25
 x +
15416973
500
    Remove a bracket on the left of the equation:
     
35825
2
 x + 292050 +
125
3
 x x +
825
2
 x +
825
2
 ×
99
10
 + 495( x +
99
10
) = 143 x x +
113256
25
 x +
15416973
500
    The equation is reduced to :
     
35825
2
 x + 292050 +
125
3
 x x +
825
2
 x +
16335
4
 + 495( x +
99
10
) = 143 x x +
113256
25
 x +
15416973
500
    The equation is reduced to :
     18325 x +
1184535
4
 +
125
3
 x x + 495( x +
99
10
) = 143 x x +
113256
25
 x +
15416973
500
    Remove a bracket on the left of the equation:
     18325 x +
1184535
4
 +
125
3
 x x + 495 x + 495 ×
99
10
 = 143 x x +
113256
25
 x +
15416973
500
    The equation is reduced to :
     18325 x +
1184535
4
 +
125
3
 x x + 495 x +
9801
2
 = 143 x x +
113256
25
 x +
15416973
500
    The equation is reduced to :
     18820 x +
1204137
4
 +
125
3
 x x = 143 x x +
113256
25
 x +
15416973
500
    The equation can be reduced to :
     18820 x +
1204137
4
 +
125
3
 x x = 143 x x +
113256
25
 x +
15416973
500

    The solution of the equation:
        x1≈-16.886538 , keep 6 decimal places
        x2≈157.903907 , 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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