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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+99*0.12+99*0.12)+6700/(x+99*0.12)+10000/(x+99*0.12) = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ ( x + 99 ×
3
25
+ 99 ×
3
25
) + 6700 ÷ ( x + 99 ×
3
25
) + 10000 ÷ ( x + 99 ×
3
25
) = 150
     Multiply both sides of the equation by:( x + 99 ×
3
25
+ 99 ×
3
25
)
     7600 + 6700 ÷ ( x + 99 ×
3
25
) × ( x + 99 ×
3
25
+ 99 ×
3
25
) + 10000 ÷ ( x + 99 ×
3
25
) × ( x + 99 ×
3
25
+ 99 ×
3
25
) = 150( x + 99 ×
3
25
+ 99 ×
3
25
)
    Remove a bracket on the left of the equation::
     7600 + 6700 ÷ ( x + 99 ×
3
25
) × x + 6700 ÷ ( x + 99 ×
3
25
) × 99 ×
3
25
+ 6700 ÷ ( x + 99 ×
3
25
) × 99 ×
3
25
= 150( x + 99 ×
3
25
+ 99 ×
3
25
)
    Remove a bracket on the right of the equation::
     7600 + 6700 ÷ ( x + 99 ×
3
25
) × x + 6700 ÷ ( x + 99 ×
3
25
) × 99 ×
3
25
+ 6700 ÷ ( x + 99 ×
3
25
) × 99 ×
3
25
= 150 x + 150 × 99 ×
3
25
+ 150 × 99 ×
3
25
    The equation is reduced to :
     7600 + 6700 ÷ ( x + 99 ×
3
25
) × x + 79596 ÷ ( x + 99 ×
3
25
) + 79596 ÷ ( x + 99 ×
3
25
) + 10000 ÷ ( x + 99 ×
3
25
) × ( x + 99 ×
3
25
+ 99 ×
3
25
) = 150 x + 1782 + 1782
    The equation is reduced to :
     7600 + 6700 ÷ ( x + 99 ×
3
25
) × x + 79596 ÷ ( x + 99 ×
3
25
) + 79596 ÷ ( x + 99 ×
3
25
) + 10000 ÷ ( x + 99 ×
3
25
) × ( x + 99 ×
3
25
+ 99 ×
3
25
) = 150 x + 3564
     Multiply both sides of the equation by:( x + 99 ×
3
25
)
     7600( x + 99 ×
3
25
) + 6700 x + 79596 + 79596 + 10000( x + 99 ×
3
25
+ 99 ×
3
25
) = 150 x ( x + 99 ×
3
25
) + 3564( x + 99 ×
3
25
)
    Remove a bracket on the left of the equation:
     7600 x + 7600 × 99 ×
3
25
+ 6700 x + 79596 + 79596 + 10000( x + 99 ×
3
25
+ 99 ×
3
25
) = 150 x ( x + 99 ×
3
25
) + 3564( x + 99 ×
3
25
)
    Remove a bracket on the right of the equation::
     7600 x + 7600 × 99 ×
3
25
+ 6700 x + 79596 + 79596 + 10000( x + 99 ×
3
25
+ 99 ×
3
25
) = 150 x x + 150 x × 99 ×
3
25
+ 3564( x + 99 ×
3
25
)
    The equation is reduced to :
     7600 x + 90288 + 6700 x + 79596 + 79596 + 10000( x + 99 ×
3
25
+ 99 ×
3
25
) = 150 x x + 1782 x + 3564( x + 99 ×
3
25
)
    The equation is reduced to :
     14300 x + 249480 + 10000( x + 99 ×
3
25
+ 99 ×
3
25
) = 150 x x + 1782 x + 3564( x + 99 ×
3
25
)
    Remove a bracket on the left of the equation:
     14300 x + 249480 + 10000 x + 10000 × 99 ×
3
25
+ 10000 × 99 ×
3
25
= 150 x x + 1782 x + 3564( x + 99 ×
3
25
)
    Remove a bracket on the right of the equation::
     14300 x + 249480 + 10000 x + 10000 × 99 ×
3
25
+ 10000 × 99 ×
3
25
= 150 x x + 1782 x + 3564 x + 3564 × 99 ×
3
25
    The equation is reduced to :
     14300 x + 249480 + 10000 x + 118800 + 118800 = 150 x x + 1782 x + 3564 x +
1058508
25
    The equation is reduced to :
     24300 x + 487080 = 150 x x + 5346 x +
1058508
25

    The solution of the equation:
        x1≈-20.226496 , keep 6 decimal places
        x2≈146.586496 , keep 6 decimal places
    
    There are 2 solution(s).


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