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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 = 37.5+x÷(1+17%)*17%+x*5%+x*25% .
    Question type: Equation
    Solution:Original question:
      x =
75
2
+ x ÷ (1 +
17
100
) ×
17
100
+ x ×
5
100
+ x ×
25
100
     Multiply both sides of the equation by:(1 +
17
100
)
      x (1 +
17
100
) =
75
2
(1 +
17
100
) + x ×
17
100
+ x ×
5
100
(1 +
17
100
) + x ×
25
100
(1 +
17
100
)
    Remove a bracket on the left of the equation::
      x × 1 + x ×
17
100
=
75
2
(1 +
17
100
) + x ×
17
100
+ x ×
5
100
(1 +
17
100
) + x ×
25
100
(1 +
17
100
)
    Remove a bracket on the right of the equation::
      x × 1 + x ×
17
100
=
75
2
× 1 +
75
2
×
17
100
+ x ×
17
100
+ x ×
5
100
(1 +
17
100
) + x ×
25
100
(1 +
17
100
)
    The equation is reduced to :
      x × 1 + x ×
17
100
=
75
2
+
51
8
+ x ×
17
100
+ x ×
5
100
(1 +
17
100
) + x ×
25
100
(1 +
17
100
)
    The equation is reduced to :
     
117
100
x =
351
8
+
17
100
x + x ×
5
100
(1 +
17
100
) + x ×
25
100
(1 +
17
100
)
    Remove a bracket on the right of the equation::
     
117
100
x =
351
8
+
17
100
x + x ×
5
100
× 1 + x ×
5
100
×
17
100
+ x ×
25
100
(1 +
17
100
)
    The equation is reduced to :
     
117
100
x =
351
8
+
17
100
x + x ×
1
20
+ x ×
17
2000
+ x ×
25
100
(1 +
17
100
)
    The equation is reduced to :
     
117
100
x =
351
8
+
457
2000
x + x ×
25
100
(1 +
17
100
)
    Remove a bracket on the right of the equation::
     
117
100
x =
351
8
+
457
2000
x + x ×
25
100
× 1 + x ×
25
100
×
17
100
    The equation is reduced to :
     
117
100
x =
351
8
+
457
2000
x + x ×
1
4
+ x ×
17
400
    The equation is reduced to :
     
117
100
x =
351
8
+
521
1000
x

    Transposition :
     
117
100
x
521
1000
x =
351
8

    Combine the items on the left of the equation:
     
649
1000
x =
351
8

    The coefficient of the unknown number is reduced to 1 :
      x =
351
8
÷
649
1000
        =
351
8
×
1000
649
        = 351 ×
125
649

    We obtained :
      x =
43875
649
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 67.604006



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