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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 7600/(x+112*0.32)+10000/(112*0.2+x)+10000/(x) = 149 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ ( x + 112 ×
8
25
) + 10000 ÷ (112 ×
1
5
 + x ) + 10000 ÷ ( x ) = 149
     Multiply both sides of the equation by:( x + 112 ×
8
25
)
     7600 + 10000 ÷ (112 ×
1
5
 + x ) × ( x + 112 ×
8
25
) + 10000 ÷ ( x ) × ( x + 112 ×
8
25
) = 149( x + 112 ×
8
25
)
    Remove a bracket on the left of the equation:：
     7600 + 10000 ÷ (112 ×
1
5
 + x ) × x + 10000 ÷ (112 ×
1
5
 + x ) × 112 ×
8
25
 + 10000 ÷ ( x ) × ( x + 112 ×
8
25
) = 149( x + 112 ×
8
25
)
    Remove a bracket on the right of the equation:：
     7600 + 10000 ÷ (112 ×
1
5
 + x ) × x + 10000 ÷ (112 ×
1
5
 + x ) × 112 ×
8
25
 + 10000 ÷ ( x ) × ( x + 112 ×
8
25
) = 149 x + 149 × 112 ×
8
25
    The equation is reduced to :
     7600 + 10000 ÷ (112 ×
1
5
 + x ) × x + 358400 ÷ (112 ×
1
5
 + x ) + 10000 ÷ ( x ) × ( x + 112 ×
8
25
) = 149 x +
133504
25
     Multiply both sides of the equation by:(112 ×
1
5
 + x )
     7600(112 ×
1
5
 + x ) + 10000 x + 358400 + 10000 ÷ ( x ) × ( x + 112 ×
8
25
)(112 ×
1
5
 + x ) = 149 x (112 ×
1
5
 + x ) +
133504
25
(112 ×
1
5
 + x )
    Remove a bracket on the left of the equation:
     7600 × 112 ×
1
5
 + 7600 x + 10000 x + 358400 + 10000 ÷ ( x ) × ( x + 112 ×
8
25
)(112 ×
1
5
 + x ) = 149 x (112 ×
1
5
 + x ) +
133504
25
(112 ×
1
5
 + x )
    Remove a bracket on the right of the equation:：
     7600 × 112 ×
1
5
 + 7600 x + 10000 x + 358400 + 10000 ÷ ( x ) × ( x + 112 ×
8
25
)(112 ×
1
5
 + x ) = 149 x × 112 ×
1
5
 + 149 x x +
133504
25
(112 ×
1
5
 + x )
    The equation is reduced to :
     170240 + 7600 x + 10000 x + 358400 + 10000 ÷ ( x ) × ( x + 112 ×
8
25
)(112 ×
1
5
 + x ) =
16688
5
 x + 149 x x +
133504
25
(112 ×
1
5
 + x )
    The equation is reduced to :
     528640 + 17600 x + 10000 ÷ ( x ) × ( x + 112 ×
8
25
)(112 ×
1
5
 + x ) =
16688
5
 x + 149 x x +
133504
25
(112 ×
1
5
 + x )
     Multiply both sides of the equation by:( x )
     528640( x ) + 17600 x ( x ) + 10000( x + 112 ×
8
25
)(112 ×
1
5
 + x ) =
16688
5
 x ( x ) + 149 x x ( x ) +
133504
25
(112 ×
1
5
 + x )( x )
    Remove a bracket on the left of the equation:
     528640 x + 17600 x ( x ) + 10000( x + 112 ×
8
25
)(112 ×
1
5
 + x ) =
16688
5
 x ( x ) + 149 x x ( x ) +
133504
25
(112 ×
1
5
 + x )( x )
    Remove a bracket on the right of the equation:：
     528640 x + 17600 x ( x ) + 10000( x + 112 ×
8
25
)(112 ×
1
5
 + x ) =
16688
5
 x x + 149 x x ( x ) +
133504
25
(112 ×
1
5
 + x )( x )
    Remove a bracket on the left of the equation:
     528640 x + 17600 x x + 10000( x + 112 ×
8
25
)(112 ×
1
5
 + x ) =
16688
5
 x x + 149 x x ( x ) +
133504
25
(112 ×
1
5
 + x )( x )
    Remove a bracket on the right of the equation:：
     528640 x + 17600 x x + 10000( x + 112 ×
8
25
)(112 ×
1
5
 + x ) =
16688
5
 x x + 149 x x x +
133504
25
(112 ×
1
5
 + x )( x )
    Remove a bracket on the left of the equation:
     528640 x + 17600 x x + 10000 x (112 ×
1
5
 + x ) + 10000 × 112 ×
8
25
(112 ×
1
5
 + x ) =
16688
5
 x x + 149 x x x +
133504
25
(112 ×
1
5
 + x )( x )
    Remove a bracket on the right of the equation:：
     528640 x + 17600 x x + 10000 x (112 ×
1
5
 + x ) + 10000 × 112 ×
8
25
(112 ×
1
5
 + x ) =
16688
5
 x x + 149 x x x +
133504
25
 × 112 ×
1
5
( x ) +
133504
25
    The equation is reduced to :
     528640 x + 17600 x x + 10000 x (112 ×
1
5
 + x ) + 358400(112 ×
1
5
 + x ) =
16688
5
 x x + 149 x x x +
14952448
125
( x ) +
133504
25
 x ( x )
    Remove a bracket on the left of the equation:
     528640 x + 17600 x x + 10000 x × 112 ×
1
5
 + 10000 x x =
16688
5
 x x + 149 x x x +
14952448
125
( x ) +
133504
25
 x ( x )
    Remove a bracket on the right of the equation:：
     528640 x + 17600 x x + 10000 x × 112 ×
1
5
 + 10000 x x =
16688
5
 x x + 149 x x x +
14952448
125
 x +
133504
25
 x ( x )
    The equation is reduced to :
     528640 x + 17600 x x + 224000 x + 10000 x x + 358400(112 ×
1
5
 + x ) =
16688
5
 x x + 149 x x x +
14952448
125
 x +
133504
25
 x ( x )
    The equation is reduced to :
     752640 x + 17600 x x + 10000 x x + 358400(112 ×
1
5
 + x ) =
16688
5
 x x + 149 x x x +
14952448
125
 x +
133504
25
 x ( x )
    Remove a bracket on the left of the equation:
     752640 x + 17600 x x + 10000 x x + 358400 × 112 ×
1
5
 + 358400 =
16688
5
 x x + 149 x x x +
14952448
125
 x +
133504
25
 x ( x )

    The solution of the equation:
        x1≈-31.134378 , keep 6 decimal places
        x2≈-10.276218 , keep 6 decimal places
        x3≈168.405495 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


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