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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 2714 = （r+8+0.25+8+0.25+4.5）*2*3.14*9+（r+8+0.25+4）*2*3.14*8+（r+4）*2*3.14*8 .
    Question type: Equation
    Solution:Original question:
     2714 = ( r + 8 +
1
4
 + 8 +
1
4
 +
9
2
) × 2 ×
157
50
 × 9 + ( r + 8 +
1
4
 + 4) × 2 ×
157
50
 × 8 + ( r + 4) × 2 ×
157
50
 × 8
     Right side of the equation = ( r + 8 +
1
4
 + 8 +
1
4
 +
9
2
) ×
1413
25
 + ( r + 8 +
1
4
 + 4) ×
1256
25
 + ( r + 4) ×
1256
25
    The equation is transformed into :
     2714 = ( r + 8 +
1
4
 + 8 +
1
4
 +
9
2
) ×
1413
25
 + ( r + 8 +
1
4
 + 4) ×
1256
25
 + ( r + 4) ×
1256
25
    Remove the bracket on the right of the equation:
     Right side of the equation = r ×
1413
25
 + 8 ×
1413
25
 +
1
4
 ×
1413
25
 + 8 ×
1413
25
 +
1
4
 ×
1413
25
 +
9
2
 ×
1413
25
                                               = r ×
1413
25
 +
11304
25
 +
1413
100
 +
11304
25
 +
1413
100
 +
12717
50
 + ( r + 8 +
1
4
 + 4) ×
1256
25
 + ( r + 4) ×
1256
25
                                               =
1413
25
 r +
29673
25
 + ( r + 8 +
1
4
 + 4) ×
1256
25
 + ( r + 4) ×
1256
25
                                               =
1413
25
 r +
29673
25
 + r ×
1256
25
 + 8 ×
1256
25
 +
1
4
 ×
1256
25
 + 4 ×
1256
25
 + ( r + 4)
                                               =
1413
25
 r +
29673
25
 + r ×
1256
25
 +
10048
25
 +
314
25
 +
5024
25
 + ( r + 4) ×
1256
25
                                               =
2669
25
 r +
45059
25
 + ( r + 4) ×
1256
25
                                               =
2669
25
 r +
45059
25
 + r ×
1256
25
 + 4 ×
1256
25
                                               =
2669
25
 r +
45059
25
 + r ×
1256
25
 +
5024
25
                                               = 157 r +
50083
25
    The equation is transformed into :
     2714 = 157 r +
50083
25

    Transposition :
      - 157 r =
50083
25
 − 2714

    Combine the items on the right of the equation:
      - 157 r = -
17767
25

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
17767
25
 = 157 r

    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 :
     157 r =
17767
25

    The coefficient of the unknown number is reduced to 1 :
      r =
17767
25
 ÷ 157
        =
17767
25
 ×
1
157

    We obtained :
      r =
17767
3925
    This is the solution of the equation.

    Convert the result to decimal form :
      r = 4.526624



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