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    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 7600/(x+112*0.12)+10000/(x+112*0.2)+10000/(x) = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ ( x + 112 ×
3
25
) + 10000 ÷ ( x + 112 ×
1
5
) + 10000 ÷ ( x ) = 150
     Multiply both sides of the equation by:( x + 112 ×
3
25
)
     7600 + 10000 ÷ ( x + 112 ×
1
5
) × ( x + 112 ×
3
25
) + 10000 ÷ ( x ) × ( x + 112 ×
3
25
) = 150( x + 112 ×
3
25
)
    Remove a bracket on the left of the equation::
     7600 + 10000 ÷ ( x + 112 ×
1
5
) × x + 10000 ÷ ( x + 112 ×
1
5
) × 112 ×
3
25
+ 10000 ÷ ( x ) × ( x + 112 ×
3
25
) = 150( x + 112 ×
3
25
)
    Remove a bracket on the right of the equation::
     7600 + 10000 ÷ ( x + 112 ×
1
5
) × x + 10000 ÷ ( x + 112 ×
1
5
) × 112 ×
3
25
+ 10000 ÷ ( x ) × ( x + 112 ×
3
25
) = 150 x + 150 × 112 ×
3
25
    The equation is reduced to :
     7600 + 10000 ÷ ( x + 112 ×
1
5
) × x + 134400 ÷ ( x + 112 ×
1
5
) + 10000 ÷ ( x ) × ( x + 112 ×
3
25
) = 150 x + 2016
     Multiply both sides of the equation by:( x + 112 ×
1
5
)
     7600( x + 112 ×
1
5
) + 10000 x + 134400 + 10000 ÷ ( x ) × ( x + 112 ×
3
25
)( x + 112 ×
1
5
) = 150 x ( x + 112 ×
1
5
) + 2016( x + 112 ×
1
5
)
    Remove a bracket on the left of the equation:
     7600 x + 7600 × 112 ×
1
5
+ 10000 x + 134400 + 10000 ÷ ( x ) × ( x + 112 ×
3
25
)( x + 112 ×
1
5
) = 150 x ( x + 112 ×
1
5
) + 2016( x + 112 ×
1
5
)
    Remove a bracket on the right of the equation::
     7600 x + 7600 × 112 ×
1
5
+ 10000 x + 134400 + 10000 ÷ ( x ) × ( x + 112 ×
3
25
)( x + 112 ×
1
5
) = 150 x x + 150 x × 112 ×
1
5
+ 2016( x + 112 ×
1
5
)
    The equation is reduced to :
     7600 x + 170240 + 10000 x + 134400 + 10000 ÷ ( x ) × ( x + 112 ×
3
25
)( x + 112 ×
1
5
) = 150 x x + 3360 x + 2016( x + 112 ×
1
5
)
    The equation is reduced to :
     17600 x + 304640 + 10000 ÷ ( x ) × ( x + 112 ×
3
25
)( x + 112 ×
1
5
) = 150 x x + 3360 x + 2016( x + 112 ×
1
5
)
     Multiply both sides of the equation by:( x )
     17600 x ( x ) + 304640( x ) + 10000( x + 112 ×
3
25
)( x + 112 ×
1
5
) = 150 x x ( x ) + 3360 x ( x ) + 2016( x + 112 ×
1
5
)( x )
    Remove a bracket on the left of the equation:
     17600 x x + 304640( x ) + 10000( x + 112 ×
3
25
)( x + 112 ×
1
5
) = 150 x x ( x ) + 3360 x ( x ) + 2016( x + 112 ×
1
5
)( x )
    Remove a bracket on the right of the equation::
     17600 x x + 304640( x ) + 10000( x + 112 ×
3
25
)( x + 112 ×
1
5
) = 150 x x x + 3360 x ( x ) + 2016( x + 112 ×
1
5
)( x )
    Remove a bracket on the left of the equation:
     17600 x x + 304640 x + 10000( x + 112 ×
3
25
)( x + 112 ×
1
5
) = 150 x x x + 3360 x ( x ) + 2016( x + 112 ×
1
5
)( x )
    Remove a bracket on the right of the equation::
     17600 x x + 304640 x + 10000( x + 112 ×
3
25
)( x + 112 ×
1
5
) = 150 x x x + 3360 x x + 2016( x + 112 ×
1
5
)( x )
    Remove a bracket on the left of the equation:
     17600 x x + 304640 x + 10000 x ( x + 112 ×
1
5
) + 10000 × 112 ×
3
25
( x + 112 ×
1
5
) = 150 x x x + 3360 x x + 2016( x + 112 ×
1
5
)( x )
    Remove a bracket on the right of the equation::
     17600 x x + 304640 x + 10000 x ( x + 112 ×
1
5
) + 10000 × 112 ×
3
25
( x + 112 ×
1
5
) = 150 x x x + 3360 x x + 2016 x ( x ) + 2016 × 112
    The equation is reduced to :
     17600 x x + 304640 x + 10000 x ( x + 112 ×
1
5
) + 134400( x + 112 ×
1
5
) = 150 x x x + 3360 x x + 2016 x ( x ) +
225792
5
( x )
    Remove a bracket on the left of the equation:
     17600 x x + 304640 x + 10000 x x + 10000 x × 112 ×
1
5
= 150 x x x + 3360 x x + 2016 x ( x ) +
225792
5
( x )
    Remove a bracket on the right of the equation::
     17600 x x + 304640 x + 10000 x x + 10000 x × 112 ×
1
5
= 150 x x x + 3360 x x + 2016 x x +
225792
5
( x )
    The equation is reduced to :
     17600 x x + 304640 x + 10000 x x + 224000 x + 134400( x + 112 ×
1
5
) = 150 x x x + 3360 x x + 2016 x x +
225792
5
( x )
    The equation is reduced to :
     17600 x x + 528640 x + 10000 x x + 134400( x + 112 ×
1
5
) = 150 x x x + 3360 x x + 2016 x x +
225792
5
( x )
    Remove a bracket on the left of the equation:
     17600 x x + 528640 x + 10000 x x + 134400 x + 134400 × 112 = 150 x x x + 3360 x x + 2016 x x +
225792
5
( x )

    The solution of the equation:
        x1≈-18.108469 , keep 6 decimal places
        x2≈-6.418232 , keep 6 decimal places
        x3≈172.686701 , 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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