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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-15%)/(17%-15%) = (0-45)/(10-45) .
    Question type: Equation
    Solution:Original question:
     ( X
15
100
) ÷ (
17
100
15
100
) = (045) ÷ (1045)
     Multiply both sides of the equation by:(
17
100
15
100
) ,  (1045)
     ( X
15
100
)(1045) = (045)(
17
100
15
100
)
    Remove a bracket on the left of the equation::
      X (1045)
15
100
(1045) = (045)(
17
100
15
100
)
    Remove a bracket on the right of the equation::
      X (1045)
15
100
(1045) = 0(
17
100
15
100
)45(
17
100
15
100
)
    Remove a bracket on the left of the equation:
      X × 10 X × 45
15
100
(1045) = 0(
17
100
15
100
)45(
17
100
15
100
)
    Remove a bracket on the right of the equation::
      X × 10 X × 45
15
100
(1045) = 0 ×
17
100
0 ×
15
100
45(
17
100
15
100
)
    The equation is reduced to :
      X × 10 X × 45
15
100
(1045) = 0 0 45(
17
100
15
100
)
    The equation is reduced to :
      - 35 X
15
100
(1045) = 0 45(
17
100
15
100
)
    Remove a bracket on the left of the equation:
      - 35 X
15
100
× 10 +
15
100
× 45 = - 45(
17
100
15
100
)
    Remove a bracket on the right of the equation::
      - 35 X
15
100
× 10 +
15
100
× 45 = - 45 ×
17
100
+ 45 ×
15
100
    The equation is reduced to :
      - 35 X
3
2
+
27
4
= -
153
20
+
27
4
    The equation is reduced to :
      - 35 X +
21
4
= -
9
10

    Transposition :
      - 35 X = -
9
10
21
4

    Combine the items on the right of the equation:
      - 35 X = -
123
20

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
123
20
= 35 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 :
     35 X =
123
20

    The coefficient of the unknown number is reduced to 1 :
      X =
123
20
÷ 35
        =
123
20
×
1
35

    We obtained :
      X =
123
700
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.175714



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