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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 [(x-80)*10-96]*(1-25%） = 16.2% .
    Question type: Equation
    Solution:Original question:
     (( x − 80) × 10 − 96)(1 −
25
100
) =
81
500
    Remove the bracket on the left of the equation:
     Left side of the equation = ( x − 80) × 10(1 −
25
100
) − 96(1 −
25
100
)
                                             = x × 10(1 −
25
100
) − 80 × 10(1 −
25
100
) − 96(1 −
25
100
)
                                             = x × 10(1 −
25
100
) − 800(1 −
25
100
) − 96(1 −
25
100
)
                                             = x × 10 × 1 − x × 10 ×
25
100
 − 800(1 −
25
100
) − 96(1 −
25
100
)
                                             = x × 10 − x ×
5
2
 − 800(1 −
25
100
) − 96(1 −
25
100
)
                                             =
15
2
 x − 800(1 −
25
100
) − 96(1 −
25
100
)
                                             =
15
2
 x − 800 × 1 + 800 ×
25
100
 − 96(1 −
25
100
)
                                             =
15
2
 x − 800 + 200 − 96(1 −
25
100
)
                                             =
15
2
 x − 600 − 96(1 −
25
100
)
                                             =
15
2
 x − 600 − 96 × 1 + 96 ×
25
100
                                             =
15
2
 x − 600 − 96 + 24
                                             =
15
2
 x − 672
    The equation is transformed into :
     
15
2
 x − 672 =
81
500

    Transposition :
     
15
2
 x =
81
500
 + 672

    Combine the items on the right of the equation:
     
15
2
 x =
336081
500

    The coefficient of the unknown number is reduced to 1 :
      x =
336081
500
 ÷
15
2
        =
336081
500
 ×
2
15
        =
112027
250
 ×
1
5

    We obtained :
      x =
112027
1250
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 89.6216



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