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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 (0.5-x)/0.25 = 8.5/(68.5-57.3) .
    Question type: Equation
    Solution:Original question:
     (
1
2
 − x ) ÷
1
4
 =
17
2
 ÷ (
137
2
 −
573
10
)
     Multiply both sides of the equation by:(
137
2
 −
573
10
)
     (
1
2
 − x ) ÷
1
4
 × (
137
2
 −
573
10
) =
17
2
    Remove a bracket on the left of the equation:：
     
1
2
 ÷
1
4
 × (
137
2
 −
573
10
) − x ÷
1
4
 × (
137
2
 −
573
10
) =
17
2
    The equation is reduced to :
     2(
137
2
 −
573
10
) − x × 4(
137
2
 −
573
10
) =
17
2
    Remove a bracket on the left of the equation:
     2 ×
137
2
 − 2 ×
573
10
 − x × 4(
137
2
 −
573
10
) =
17
2
    The equation is reduced to :
     137 −
573
5
 − x × 4(
137
2
 −
573
10
) =
17
2
    The equation is reduced to :
     
112
5
 − x × 4(
137
2
 −
573
10
) =
17
2
    Remove a bracket on the left of the equation:
     
112
5
 − x × 4 ×
137
2
 + x × 4 ×
573
10
 =
17
2
    The equation is reduced to :
     
112
5
 − x × 274 + x ×
1146
5
 =
17
2
    The equation is reduced to :
     
112
5
 −
224
5
 x =
17
2

    Transposition :
      -
224
5
 x =
17
2
 −
112
5

    Combine the items on the right of the equation:
      -
224
5
 x = -
139
10

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
139
10
 =
224
5
 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 :
     
224
5
 x =
139
10

    The coefficient of the unknown number is reduced to 1 :
      x =
139
10
 ÷
224
5
        =
139
10
 ×
5
224
        =
139
2
 ×
1
224

    We obtained :
      x =
139
448
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.310268



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