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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+107*0.22)+10000/(x+107*0.1)+10000/x = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ ( x + 107 ×
11
50
) + 10000 ÷ ( x + 107 ×
1
10
) + 10000 ÷ x = 150
     Multiply both sides of the equation by:( x + 107 ×
11
50
)
     7600 + 10000 ÷ ( x + 107 ×
1
10
) × ( x + 107 ×
11
50
) + 10000 ÷ x × ( x + 107 ×
11
50
) = 150( x + 107 ×
11
50
)
    Remove a bracket on the left of the equation::
     7600 + 10000 ÷ ( x + 107 ×
1
10
) × x + 10000 ÷ ( x + 107 ×
1
10
) × 107 ×
11
50
+ 10000 ÷ x × ( x + 107 ×
11
50
) = 150( x + 107 ×
11
50
)
    Remove a bracket on the right of the equation::
     7600 + 10000 ÷ ( x + 107 ×
1
10
) × x + 10000 ÷ ( x + 107 ×
1
10
) × 107 ×
11
50
+ 10000 ÷ x × ( x + 107 ×
11
50
) = 150 x + 150 × 107 ×
11
50
    The equation is reduced to :
     7600 + 10000 ÷ ( x + 107 ×
1
10
) × x + 235400 ÷ ( x + 107 ×
1
10
) + 10000 ÷ x × ( x + 107 ×
11
50
) = 150 x + 3531
     Multiply both sides of the equation by:( x + 107 ×
1
10
)
     7600( x + 107 ×
1
10
) + 10000 x + 235400 + 10000 ÷ x × ( x + 107 ×
11
50
)( x + 107 ×
1
10
) = 150 x ( x + 107 ×
1
10
) + 3531( x + 107 ×
1
10
)
    Remove a bracket on the left of the equation:
     7600 x + 7600 × 107 ×
1
10
+ 10000 x + 235400 + 10000 ÷ x × ( x + 107 ×
11
50
)( x + 107 ×
1
10
) = 150 x ( x + 107 ×
1
10
) + 3531( x + 107 ×
1
10
)
    Remove a bracket on the right of the equation::
     7600 x + 7600 × 107 ×
1
10
+ 10000 x + 235400 + 10000 ÷ x × ( x + 107 ×
11
50
)( x + 107 ×
1
10
) = 150 x x + 150 x × 107 ×
1
10
+ 3531( x + 107 ×
1
10
)
    The equation is reduced to :
     7600 x + 81320 + 10000 x + 235400 + 10000 ÷ x × ( x + 107 ×
11
50
)( x + 107 ×
1
10
) = 150 x x + 1605 x + 3531( x + 107 ×
1
10
)
    The equation is reduced to :
     17600 x + 316720 + 10000 ÷ x × ( x + 107 ×
11
50
)( x + 107 ×
1
10
) = 150 x x + 1605 x + 3531( x + 107 ×
1
10
)
     Multiply both sides of the equation by: x
     17600 x x + 316720 x + 10000( x + 107 ×
11
50
)( x + 107 ×
1
10
) = 150 x x x + 1605 x x + 3531( x + 107 ×
1
10
) x
    Remove a bracket on the left of the equation:
     17600 x x + 316720 x + 10000 x ( x + 107 ×
1
10
) + 10000 × 107 ×
11
50
( x + 107 ×
1
10
) = 150 x x x + 1605 x x + 3531( x + 107 ×
1
10
) x
    Remove a bracket on the right of the equation::
     17600 x x + 316720 x + 10000 x ( x + 107 ×
1
10
) + 10000 × 107 ×
11
50
( x + 107 ×
1
10
) = 150 x x x + 1605 x x + 3531 x x + 3531 × 107
    The equation is reduced to :
     17600 x x + 316720 x + 10000 x ( x + 107 ×
1
10
) + 235400( x + 107 ×
1
10
) = 150 x x x + 1605 x x + 3531 x x +
377817
10
x
    Remove a bracket on the left of the equation:
     17600 x x + 316720 x + 10000 x x + 10000 x × 107 ×
1
10
= 150 x x x + 1605 x x + 3531 x x +
377817
10
x
    The equation is reduced to :
     17600 x x + 316720 x + 10000 x x + 107000 x + 235400( x + 107 ×
1
10
) = 150 x x x + 1605 x x + 3531 x x +
377817
10
x
    The equation is reduced to :
     17600 x x + 423720 x + 10000 x x + 235400( x + 107 ×
1
10
) = 150 x x x + 1605 x x + 3531 x x +
377817
10
x
    Remove a bracket on the left of the equation:
     17600 x x + 423720 x + 10000 x x + 235400 x + 235400 × 107 = 150 x x x + 1605 x x + 3531 x x +
377817
10
x
    The equation is reduced to :
     17600 x x + 423720 x + 10000 x x + 235400 x + 2518780 = 150 x x x + 1605 x x + 3531 x x +
377817
10
x
    The equation is reduced to :
     17600 x x + 659120 x + 10000 x x + 2518780 = 150 x x x + 1605 x x + 3531 x x +
377817
10
x

    The solution of the equation:
        x1≈-19.365175 , keep 6 decimal places
        x2≈-4.980407 , keep 6 decimal places
        x3≈174.105582 , 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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