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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 8400/(x+112*0.32)+10000/(x)+10000/(x+112*0.2) = 150 .
    Question type: Equation
    Solution:Original question:
     8400 ÷ ( x + 112 ×
8
25
) + 10000 ÷ ( x ) + 10000 ÷ ( x + 112 ×
1
5
) = 150
     Multiply both sides of the equation by:( x + 112 ×
8
25
)
     8400 + 10000 ÷ ( x ) × ( x + 112 ×
8
25
) + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
) = 150( x + 112 ×
8
25
)
    Remove a bracket on the left of the equation::
     8400 + 10000 ÷ ( x ) × x + 10000 ÷ ( x ) × 112 ×
8
25
+ 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
) = 150( x + 112 ×
8
25
)
    Remove a bracket on the right of the equation::
     8400 + 10000 ÷ ( x ) × x + 10000 ÷ ( x ) × 112 ×
8
25
+ 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
) = 150 x + 150 × 112 ×
8
25
    The equation is reduced to :
     8400 + 10000 ÷ ( x ) × x + 358400 ÷ ( x ) + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
) = 150 x + 5376
     Multiply both sides of the equation by:(1)
     8400(1) + 10000 × 1 + 358400 ÷ ( x ) × (1) + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
)(1) = 150 x (1) + 5376(1)
    Remove a bracket on the left of the equation:
     8400 × 1 + 10000 × 1 + 358400 ÷ ( x ) × (1) + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
)(1) = 150 x (1) + 5376(1)
    Remove a bracket on the right of the equation::
     8400 × 1 + 10000 × 1 + 358400 ÷ ( x ) × (1) + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
)(1) = 150 x × 1 + 5376(1)
    The equation is reduced to :
     8400 + 10000 + 358400 ÷ ( x ) × (1) + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
)(1) = 150 x + 5376(1)
    The equation is reduced to :
     18400 + 358400 ÷ ( x ) × (1) + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
)(1) = 150 x + 5376(1)
     Multiply both sides of the equation by:( x )
     18400( x ) + 358400(1) + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
)(1)( x ) = 150 x ( x ) + 5376(1)( x )
    Remove a bracket on the left of the equation:
     18400 x + 358400(1) + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
)(1)( x ) = 150 x ( x ) + 5376(1)( x )
    Remove a bracket on the right of the equation::
     18400 x + 358400(1) + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
8
25
)(1)( x ) = 150 x x + 5376(1)( x )
     Multiply both sides of the equation by:( x + 112 ×
1
5
)
     18400 x ( x + 112 ×
1
5
) + 358400(1)( x + 112 ×
1
5
) + 10000( x + 112 ×
8
25
)(1)( x ) = 150 x x ( x + 112 ×
1
5
) + 5376(1)( x )( x + 112 ×
1
5
)
    Remove a bracket on the left of the equation:
     18400 x x + 18400 x × 112 ×
1
5
+ 358400(1)( x + 112 ×
1
5
) + 10000( x + 112 ×
8
25
) = 150 x x ( x + 112 ×
1
5
) + 5376(1)( x )( x + 112 ×
1
5
)
    Remove a bracket on the right of the equation::
     18400 x x + 18400 x × 112 ×
1
5
+ 358400(1)( x + 112 ×
1
5
) + 10000( x + 112 ×
8
25
) = 150 x x x + 150 x x × 112 ×
1
5
+ 5376(1)( x )
    The equation is reduced to :
     18400 x x + 412160 x + 358400(1)( x + 112 ×
1
5
) + 10000( x + 112 ×
8
25
)(1)( x ) = 150 x x x + 3360 x x + 5376(1)( x )( x + 112 ×
1
5
)
    Remove a bracket on the left of the equation:
     18400 x x + 412160 x + 358400 × 1( x + 112 ×
1
5
) + 10000( x + 112 ×
8
25
)(1)( x ) = 150 x x x + 3360 x x + 5376(1)( x )( x + 112 ×
1
5
)
    Remove a bracket on the right of the equation::
     18400 x x + 412160 x + 358400 × 1( x + 112 ×
1
5
) + 10000( x + 112 ×
8
25
)(1)( x ) = 150 x x x + 3360 x x + 5376 × 1( x )( x + 112 ×
1
5
)
    The equation is reduced to :
     18400 x x + 412160 x + 358400( x + 112 ×
1
5
) + 10000( x + 112 ×
8
25
)(1)( x ) = 150 x x x + 3360 x x + 5376( x )( x + 112 ×
1
5
)
    Remove a bracket on the left of the equation:
     18400 x x + 412160 x + 358400 x + 358400 × 112 ×
1
5
+ 10000( x + 112 ×
8
25
) = 150 x x x + 3360 x x + 5376( x )( x + 112 ×
1
5
)
    Remove a bracket on the right of the equation::
     18400 x x + 412160 x + 358400 x + 358400 × 112 ×
1
5
+ 10000( x + 112 ×
8
25
) = 150 x x x + 3360 x x + 5376 x ( x + 112 ×
1
5
)

    The solution of the equation:
        x1≈-30.796862 , keep 6 decimal places
        x2≈-10.104245 , keep 6 decimal places
        x3≈171.994441 , 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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