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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-180(1-25%) = (X-180-4000x80%)x(1-75%) .
    Question type: Equation
    Solution:Original question:
      X − 180(1 −
25
100
) = ( X − 180 − 4000 X ×
80
100
) X (1 −
75
100
)
    Remove the bracket on the left of the equation:
     Left side of the equation = X − 180 × 1 + 180 ×
25
100
                                             = X − 180 + 45
                                             = X − 135
    The equation is transformed into :
      X − 135 = ( X − 180 − 4000 X ×
80
100
) X (1 −
75
100
)
    Remove the bracket on the right of the equation:
     Right side of the equation = X X (1 −
75
100
) − 180 X (1 −
75
100
) − 4000 X ×
80
100
X (1 −
75
100
)
                                               = X X (1 −
75
100
) − 180 X (1 −
75
100
) − 3200 X X (1 −
75
100
)
                                               = X X × 1 − X X ×
75
100
− 180 X (1 −
75
100
) − 3200 X X
                                               = X X × 1 − X X ×
75
100
− 180 X × 1 + 180 X ×
75
100
                                               = X X × 1 − X X ×
75
100
− 180 X + 135 X − 3200 X
                                               = X X × 1 − X X ×
75
100
− 45 X − 3200 X X (1 −
75
100
)
                                               = X X × 1 − X X ×
75
100
− 45 X − 3200 X X × 1
                                               = X X × 1 − X X ×
75
100
− 45 X − 3200 X X + 2400
    The equation is transformed into :
      X − 135 = X X × 1 − X X ×
75
100
− 45 X − 3200 X X + 2400

    the solutions is:
        X=-45
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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