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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 x2+13x+14/520x2+13x−14 = x2−14x+13/520x2−13x−14x−13 .
    Question type: Equation
    Solution:Original question:
      x × 2 + 13 x + 14 ÷ 520 × x × 2 + 13 x 14 = x × 214 x + 13 ÷ 520 × x × 213 x 14 x
     Left side of the equation = x × 2 + 13 x +
7
130
x + 13 x 14
                                             =
3647
130
x 14
    The equation is transformed into :
     
3647
130
x 14 = x × 214 x + 13 ÷ 520 × x × 213 x 14 x
     Right side of the equation = x × 214 x +
1
20
x 13 x 14 x 13
                                               = -
779
20
x 13
    The equation is transformed into :
     
3647
130
x 14 = -
779
20
x 13

    Transposition :
     
3647
130
x +
779
20
x = - 13 + 14

    Combine the items on the left of the equation:
     
17421
260
x = - 13 + 14

    Combine the items on the right of the equation:
     
17421
260
x = 1

    The coefficient of the unknown number is reduced to 1 :
      x = 1 ÷
17421
260
        = 1 ×
260
17421

    We obtained :
      x =
260
17421
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.014925



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