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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+350)×90%-75%x+350÷(1+25%) = 50 .
    Question type: Equation
    Solution:Original question:
     ( x + 350) ×
90
100
75
100
x + 350 ÷ (1 +
25
100
) = 50
     Multiply both sides of the equation by:(1 +
25
100
)
     ( x + 350) ×
90
100
(1 +
25
100
)
75
100
x (1 +
25
100
) + 350 = 50(1 +
25
100
)
    Remove a bracket on the left of the equation::
      x ×
90
100
(1 +
25
100
) + 350 ×
90
100
(1 +
25
100
)
75
100
x (1 +
25
100
) + 350 = 50(1 +
25
100
)
    Remove a bracket on the right of the equation::
      x ×
90
100
(1 +
25
100
) + 350 ×
90
100
(1 +
25
100
)
75
100
x (1 +
25
100
) + 350 = 50 × 1 + 50 ×
25
100
    The equation is reduced to :
      x ×
90
100
(1 +
25
100
) + 315(1 +
25
100
)
75
100
x (1 +
25
100
) + 350 = 50 +
25
2
    The equation is reduced to :
      x ×
90
100
(1 +
25
100
) + 315(1 +
25
100
)
75
100
x (1 +
25
100
) + 350 =
125
2
    Remove a bracket on the left of the equation:
      x ×
90
100
× 1 + x ×
90
100
×
25
100
+ 315(1 +
25
100
)
75
100
x (1 +
25
100
) + 350 =
125
2
    The equation is reduced to :
      x ×
9
10
+ x ×
9
40
+ 315(1 +
25
100
)
75
100
x (1 +
25
100
) + 350 =
125
2
    The equation is reduced to :
     
9
8
x + 315(1 +
25
100
)
75
100
x (1 +
25
100
) + 350 =
125
2
    Remove a bracket on the left of the equation:
     
9
8
x + 315 × 1 + 315 ×
25
100
75
100
x (1 +
25
100
) + 350 =
125
2
    The equation is reduced to :
     
9
8
x + 315 +
315
4
75
100
x (1 +
25
100
) + 350 =
125
2
    The equation is reduced to :
     
9
8
x +
2975
4
75
100
x (1 +
25
100
) =
125
2
    Remove a bracket on the left of the equation:
     
9
8
x +
2975
4
75
100
x × 1
75
100
x ×
25
100
=
125
2
    The equation is reduced to :
     
9
8
x +
2975
4
3
4
x
3
16
x =
125
2
    The equation is reduced to :
     
3
16
x +
2975
4
=
125
2

    Transposition :
     
3
16
x =
125
2
2975
4

    Combine the items on the right of the equation:
     
3
16
x = -
2725
4

    The coefficient of the unknown number is reduced to 1 :
      x = -
2725
4
÷
3
16
        = -
2725
4
×
16
3
        = - 2725 ×
4
3

    We obtained :
      x = -
10900
3
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 3633.333333



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