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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 = 87.5+x/(1+17%)*17%+0+5%x+14.3x .
    Question type: Equation
    Solution:Original question:
      X =
175
2
+ X ÷ (1 +
17
100
) ×
17
100
+ 0 +
5
100
X +
143
10
X
     Multiply both sides of the equation by:(1 +
17
100
)
      X (1 +
17
100
) =
175
2
(1 +
17
100
) + X ×
17
100
+ 0 +
5
100
X (1 +
17
100
) +
143
10
X (1 +
17
100
)
    Remove a bracket on the left of the equation::
      X × 1 + X ×
17
100
=
175
2
(1 +
17
100
) + X ×
17
100
+ 0 +
5
100
X (1 +
17
100
) +
143
10
X (1 +
17
100
)
    Remove a bracket on the right of the equation::
      X × 1 + X ×
17
100
=
175
2
× 1 +
175
2
×
17
100
+ X ×
17
100
+ 0 +
5
100
X (1 +
17
100
) +
143
10
X
    The equation is reduced to :
      X × 1 + X ×
17
100
=
175
2
+
119
8
+ X ×
17
100
+ 0 +
5
100
X (1 +
17
100
) +
143
10
X (1 +
17
100
)
    The equation is reduced to :
     
117
100
X =
819
8
+
17
100
X +
5
100
X (1 +
17
100
) +
143
10
X (1 +
17
100
)
    Remove a bracket on the right of the equation::
     
117
100
X =
819
8
+
17
100
X +
5
100
X × 1 +
5
100
X ×
17
100
+
143
10
X (1 +
17
100
)
    The equation is reduced to :
     
117
100
X =
819
8
+
17
100
X +
1
20
X +
17
2000
X +
143
10
X (1 +
17
100
)
    The equation is reduced to :
     
117
100
X =
819
8
+
457
2000
X +
143
10
X (1 +
17
100
)
    Remove a bracket on the right of the equation::
     
117
100
X =
819
8
+
457
2000
X +
143
10
X × 1 +
143
10
X ×
17
100
    The equation is reduced to :
     
117
100
X =
819
8
+
457
2000
X +
143
10
X +
2431
1000
X
    The equation is reduced to :
     
117
100
X =
819
8
+
33919
2000
X

    Transposition :
     
117
100
X
33919
2000
X =
819
8

    Combine the items on the left of the equation:
      -
31579
2000
X =
819
8

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
819
8
=
31579
2000
X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
31579
2000
X = -
819
8

    The coefficient of the unknown number is reduced to 1 :
      X = -
819
8
÷
31579
2000
        = -
819
8
×
2000
31579
        = - 819 ×
250
31579

    We obtained :
      X = -
204750
31579
    This is the solution of the equation.

    Convert the result to decimal form :
      X = - 6.483739



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