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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 30 = 22+(x-22)(0.064+0.105+0.06)+0.5*0.7 .
    Question type: Equation
    Solution:Original question:
     30 = 22 + ( x − 22)(
8
125
 +
21
200
 +
3
50
) +
1
2
 ×
7
10
     Right side of the equation = 22 + ( x − 22)(
8
125
 +
21
200
 +
3
50
) +
7
20
                                               =
447
20
 + ( x − 22)(
8
125
 +
21
200
 +
3
50
)
    The equation is transformed into :
     30 =
447
20
 + ( x − 22)(
8
125
 +
21
200
 +
3
50
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
447
20
 + x (
8
125
 +
21
200
 +
3
50
) − 22(
8
125
 +
21
200
 +
3
50
)
                                               =
447
20
 + x ×
8
125
 + x ×
21
200
 + x ×
3
50
 − 22(
8
125
 +
21
200
 +
3
50
)
                                               =
447
20
 +
229
1000
 x − 22(
8
125
 +
21
200
 +
3
50
)
                                               =
447
20
 +
229
1000
 x − 22 ×
8
125
 − 22 ×
21
200
 − 22 ×
3
50
                                               =
447
20
 +
229
1000
 x −
176
125
 −
231
100
 −
33
25
                                               =
2164
125
 +
229
1000
 x
    The equation is transformed into :
     30 =
2164
125
 +
229
1000
 x

    Transposition :
      -
229
1000
 x =
2164
125
 − 30

    Combine the items on the right of the equation:
      -
229
1000
 x = -
1586
125

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1586
125
 =
229
1000
 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 :
     
229
1000
 x =
1586
125

    The coefficient of the unknown number is reduced to 1 :
      x =
1586
125
 ÷
229
1000
        =
1586
125
 ×
1000
229
        = 1586 ×
8
229

    We obtained :
      x =
12688
229
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 55.406114



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