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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 960/x = (960/(x+(20/100)x))+4 .
    Question type: Equation
    Solution:Original question:
     960 ÷ x = (960 ÷ ( x + (20 ÷ 100) x )) + 4
     Multiply both sides of the equation by: x
     960 = (960 ÷ ( x + (20 ÷ 100) x )) x + 4 x
    Remove a bracket on the right of the equation::
     960 = 960 ÷ ( x + (20 ÷ 100) x ) × x + 4 x
     Multiply both sides of the equation by:( x + (20 ÷ 100) x )
     960( x + (20 ÷ 100) x ) = 960 x + 4 x ( x + (20 ÷ 100) x )
    Remove a bracket on the left of the equation:
     960 x + 960(20 ÷ 100) x = 960 x + 4 x ( x + (20 ÷ 100) x )
    Remove a bracket on the right of the equation::
     960 x + 960(20 ÷ 100) x = 960 x + 4 x x + 4 x (20 ÷ 100) x
    Remove a bracket on the left of the equation:
     960 x + 960 × 20 ÷ 100 × x = 960 x + 4 x x + 4 x (20 ÷ 100) x
    Remove a bracket on the right of the equation::
     960 x + 960 × 20 ÷ 100 × x = 960 x + 4 x x + 4 x × 20 ÷ 100 × x
    The equation is reduced to :
     960 x + 192 x = 960 x + 4 x x +
4
5
x x
    The equation is reduced to :
     1152 x = 960 x + 4 x x +
4
5
x x

    
        x1=40
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》




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