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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/(112*0.12+x)+10000/(112*0.2+x)+10000/x = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ (112 ×
3
25
+ x ) + 10000 ÷ (112 ×
1
5
+ x ) + 10000 ÷ x = 150
     Multiply both sides of the equation by:(112 ×
3
25
+ x )
     7600 + 10000 ÷ (112 ×
1
5
+ x ) × (112 ×
3
25
+ x ) + 10000 ÷ x × (112 ×
3
25
+ x ) = 150(112 ×
3
25
+ x )
    Remove a bracket on the left of the equation::
     7600 + 10000 ÷ (112 ×
1
5
+ x ) × 112 ×
3
25
+ 10000 ÷ (112 ×
1
5
+ x ) × x + 10000 ÷ x × (112 ×
3
25
+ x ) = 150(112 ×
3
25
+ x )
    Remove a bracket on the right of the equation::
     7600 + 10000 ÷ (112 ×
1
5
+ x ) × 112 ×
3
25
+ 10000 ÷ (112 ×
1
5
+ x ) × x + 10000 ÷ x × (112 ×
3
25
+ x ) = 150 × 112 ×
3
25
+ 150 x
    The equation is reduced to :
     7600 + 134400 ÷ (112 ×
1
5
+ x ) + 10000 ÷ (112 ×
1
5
+ x ) × x + 10000 ÷ x × (112 ×
3
25
+ x ) = 2016 + 150 x
     Multiply both sides of the equation by:(112 ×
1
5
+ x )
     7600(112 ×
1
5
+ x ) + 134400 + 10000 x + 10000 ÷ x × (112 ×
3
25
+ x )(112 ×
1
5
+ x ) = 2016(112 ×
1
5
+ x ) + 150 x (112 ×
1
5
+ x )
    Remove a bracket on the left of the equation:
     7600 × 112 ×
1
5
+ 7600 x + 134400 + 10000 x + 10000 ÷ x × (112 ×
3
25
+ x )(112 ×
1
5
+ x ) = 2016(112 ×
1
5
+ x ) + 150 x (112 ×
1
5
+ x )
    Remove a bracket on the right of the equation::
     7600 × 112 ×
1
5
+ 7600 x + 134400 + 10000 x + 10000 ÷ x × (112 ×
3
25
+ x )(112 ×
1
5
+ x ) = 2016 × 112 ×
1
5
+ 2016 x + 150 x (112 ×
1
5
+ x )
    The equation is reduced to :
     170240 + 7600 x + 134400 + 10000 x + 10000 ÷ x × (112 ×
3
25
+ x )(112 ×
1
5
+ x ) =
225792
5
+ 2016 x + 150 x (112 ×
1
5
+ x )
    The equation is reduced to :
     304640 + 17600 x + 10000 ÷ x × (112 ×
3
25
+ x )(112 ×
1
5
+ x ) =
225792
5
+ 2016 x + 150 x (112 ×
1
5
+ x )
     Multiply both sides of the equation by: x
     304640 x + 17600 x x + 10000(112 ×
3
25
+ x )(112 ×
1
5
+ x ) =
225792
5
x + 2016 x x + 150 x (112 ×
1
5
+ x ) x
    Remove a bracket on the left of the equation:
     304640 x + 17600 x x + 10000 × 112 ×
3
25
(112 ×
1
5
+ x ) + 10000 x (112 ×
1
5
+ x ) =
225792
5
x + 2016 x x + 150 x (112 ×
1
5
+ x ) x
    Remove a bracket on the right of the equation::
     304640 x + 17600 x x + 10000 × 112 ×
3
25
(112 ×
1
5
+ x ) + 10000 x (112 ×
1
5
+ x ) =
225792
5
x + 2016 x x + 150 x × 112 ×
1
5
x + 150 x
    The equation is reduced to :
     304640 x + 17600 x x + 134400(112 ×
1
5
+ x ) + 10000 x (112 ×
1
5
+ x ) =
225792
5
x + 2016 x x + 3360 x x + 150 x x x
    Remove a bracket on the left of the equation:
     304640 x + 17600 x x + 134400 × 112 ×
1
5
+ 134400 x + 10000 x =
225792
5
x + 2016 x x + 3360 x x + 150 x x x
    The equation is reduced to :
     304640 x + 17600 x x + 3010560 + 134400 x + 10000 x (112 ×
1
5
+ x ) =
225792
5
x + 2016 x x + 3360 x x + 150 x x x
    The equation is reduced to :
     439040 x + 17600 x x + 3010560 + 10000 x (112 ×
1
5
+ x ) =
225792
5
x + 2016 x x + 3360 x x + 150 x x x
    Remove a bracket on the left of the equation:
     439040 x + 17600 x x + 3010560 + 10000 x × 112 ×
1
5
+ 10000 x =
225792
5
x + 2016 x x + 3360 x x + 150 x x x
    The equation is reduced to :
     439040 x + 17600 x x + 3010560 + 224000 x + 10000 x x =
225792
5
x + 2016 x x + 3360 x x + 150 x x x
    The equation is reduced to :
     663040 x + 17600 x x + 3010560 + 10000 x x =
225792
5
x + 2016 x x + 3360 x x + 150 x x 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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