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On line Solution of Monovariate Equation：
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    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 (10000-((10000/70)-(27600/(x+10.4+60))*(x+10.4+60)))/(x+10.4)+(10000/70) = 150 .
    Question type: Equation
    Solution:Original question:
     (10000 − ((10000 ÷ 70) − (27600 ÷ ( x +
52
5
 + 60))( x +
52
5
 + 60))) ÷ ( x +
52
5
) + (10000 ÷ 70) = 150
     Multiply both sides of the equation by:( x +
52
5
)
     (10000 − ((10000 ÷ 70) − (27600 ÷ ( x +
52
5
 + 60))( x +
52
5
 + 60))) + (10000 ÷ 70)( x +
52
5
) = 150( x +
52
5
)
    Remove a bracket on the left of the equation:：
     10000 − ((10000 ÷ 70) − (27600 ÷ ( x +
52
5
 + 60))( x +
52
5
 + 60)) + (10000 ÷ 70)( x +
52
5
) = 150( x +
52
5
)
    Remove a bracket on the right of the equation:：
     10000 − ((10000 ÷ 70) − (27600 ÷ ( x +
52
5
 + 60))( x +
52
5
 + 60)) + (10000 ÷ 70)( x +
52
5
) = 150 x + 150 ×
52
5
    The equation is reduced to :
     10000 − ((10000 ÷ 70) − (27600 ÷ ( x +
52
5
 + 60))( x +
52
5
 + 60)) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    Remove a bracket on the left of the equation:
     10000 − (10000 ÷ 70) + (27600 ÷ ( x +
52
5
 + 60))( x +
52
5
 + 60) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    Remove a bracket on the left of the equation:
     10000 − 10000 ÷ 70 + (27600 ÷ ( x +
52
5
 + 60))( x +
52
5
 + 60) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    The equation is reduced to :
     10000 −
1000
7
 + (27600 ÷ ( x +
52
5
 + 60))( x +
52
5
 + 60) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    The equation is reduced to :
     
69000
7
 + (27600 ÷ ( x +
52
5
 + 60))( x +
52
5
 + 60) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
    Remove a bracket on the left of the equation:
     
69000
7
 + 27600 ÷ ( x +
52
5
 + 60) × ( x +
52
5
 + 60) + (10000 ÷ 70)( x +
52
5
) = 150 x + 1560
     Multiply both sides of the equation by:( x +
52
5
 + 60)
     
69000
7
( x +
52
5
 + 60) + 27600( x +
52
5
 + 60) + (10000 ÷ 70)( x +
52
5
)( x +
52
5
 + 60) = 150 x ( x +
52
5
 + 60) + 1560( x +
52
5
 + 60)
    Remove a bracket on the left of the equation:
     
69000
7
 x +
69000
7
 ×
52
5
 +
69000
7
 × 60 + 27600( x +
52
5
 + 60) + (10000 ÷ 70)( x +
52
5
)( x +
52
5
 + 60) = 150 x ( x +
52
5
 + 60) + 1560( x +
52
5
 + 60)
    Remove a bracket on the right of the equation:：
     
69000
7
 x +
69000
7
 ×
52
5
 +
69000
7
 × 60 + 27600( x +
52
5
 + 60) + (10000 ÷ 70)( x +
52
5
)( x +
52
5
 + 60) = 150 x x + 150 x ×
52
5
 + 150 x × 60 + 1560( x +
52
5
 + 60)
    The equation is reduced to :
     
69000
7
 x +
717600
7
 +
4140000
7
 + 27600( x +
52
5
 + 60) + (10000 ÷ 70)( x +
52
5
)( x +
52
5
 + 60) = 150 x x + 1560 x + 9000 x + 1560( x +
52
5
 + 60)
    The equation is reduced to :
     
69000
7
 x +
4857600
7
 + 27600( x +
52
5
 + 60) + (10000 ÷ 70)( x +
52
5
)( x +
52
5
 + 60) = 150 x x + 10560 x + 1560( x +
52
5
 + 60)
    Remove a bracket on the left of the equation:
     
69000
7
 x +
4857600
7
 + 27600 x + 27600 ×
52
5
 + 27600 × 60 + (10000 ÷ 70)( x +
52
5
)( x +
52
5
 + 60) = 150 x x + 10560 x + 1560( x +
52
5
 + 60)
    Remove a bracket on the right of the equation:：
     
69000
7
 x +
4857600
7
 + 27600 x + 27600 ×
52
5
 + 27600 × 60 + (10000 ÷ 70)( x +
52
5
)( x +
52
5
 + 60) = 150 x x + 10560 x + 1560 x + 1560 ×
52
5
 + 1560 × 60
    The equation is reduced to :
     
69000
7
 x +
4857600
7
 + 27600 x + 287040 + 1656000 + (10000 ÷ 70)( x +
52
5
)( x +
52
5
 + 60) = 150 x x + 10560 x + 1560 x + 16224 + 93600
    The equation is reduced to :
     
262200
7
 x +
18458880
7
 + (10000 ÷ 70)( x +
52
5
)( x +
52
5
 + 60) = 150 x x + 12120 x + 109824
    Remove a bracket on the left of the equation:
     
262200
7
 x +
18458880
7
 + 10000 ÷ 70 × ( x +
52
5
)( x +
52
5
 + 60) = 150 x x + 12120 x + 109824
    The equation is reduced to :
     
262200
7
 x +
18458880
7
 +
1000
7
( x +
52
5
)( x +
52
5
 + 60) = 150 x x + 12120 x + 109824
    Remove a bracket on the left of the equation:
     
262200
7
 x +
18458880
7
 +
1000
7
 x ( x +
52
5
 + 60) +
1000
7
 ×
52
5
( x +
52
5
 + 60) = 150 x x + 12120 x + 109824
    The equation is reduced to :
     
262200
7
 x +
18458880
7
 +
1000
7
 x ( x +
52
5
 + 60) +
10400
7
( x +
52
5
 + 60) = 150 x x + 12120 x + 109824
    Remove a bracket on the left of the equation:
     
262200
7
 x +
18458880
7
 +
1000
7
 x x +
1000
7
 x ×
52
5
 +
1000
7
 x × 60 = 150 x x + 12120 x + 109824
    
    There are 0 solution(s).

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