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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 0 = 70%-15%-(1-10%)/10%*8%*(1-x) .
    Question type: Equation
    Solution:Original question:
     0 =
70
100
15
100
(1
10
100
) ÷
10
100
×
8
100
(1 x )
     Right side of the equation =
70
100
15
100
(1
10
100
) ×
4
5
(1 x )
                                               =
11
20
(1
10
100
) ×
4
5
(1 x )
    The equation is transformed into :
     0 =
11
20
(1
10
100
) ×
4
5
(1 x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
11
20
1 ×
4
5
(1 x ) +
10
100
×
4
5
(1 x )
                                               =
11
20
4
5
(1 x ) +
2
25
(1 x )
                                               =
11
20
4
5
× 1 +
4
5
x +
2
25
(1 x )
                                               =
11
20
4
5
+
4
5
x +
2
25
(1 x )
                                               = -
1
4
+
4
5
x +
2
25
(1 x )
                                               = -
1
4
+
4
5
x +
2
25
× 1
2
25
x
                                               = -
1
4
+
4
5
x +
2
25
2
25
x
                                               = -
17
100
+
18
25
x
    The equation is transformed into :
     0 = -
17
100
+
18
25
x

    Transposition :
      -
18
25
x = -
17
100
0

    Combine the items on the right of the equation:
      -
18
25
x = -
17
100

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
17
100
=
18
25
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 :
     
18
25
x =
17
100

    The coefficient of the unknown number is reduced to 1 :
      x =
17
100
÷
18
25
        =
17
100
×
25
18
        =
17
4
×
1
18

    We obtained :
      x =
17
72
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.236111



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