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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+215）*（x+215） = 500*500+（x+30.3-20）*（x+30.3-20） .
    Question type: Equation
    Solution:Original question:
     ( x + 215)( x + 215) = 500 × 500 + ( x +
303
10
 − 20)( x +
303
10
 − 20)
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x + 215) + 215( x + 215)
                                             = x x + x × 215 + 215( x + 215)
                                             = x x + 215 x + 215 x + 215 × 215
                                             = x x + 215 x + 215 x + 46225
                                             = x x + 430 x + 46225
    The equation is transformed into :
      x x + 430 x + 46225 = 500 × 500 + ( x +
303
10
 − 20)( x +
303
10
 − 20)
     Right side of the equation = 250000 + ( x +
303
10
 − 20)( x +
303
10
 − 20)
    The equation is transformed into :
      x x + 430 x + 46225 = 250000 + ( x +
303
10
 − 20)( x +
303
10
 − 20)
    Remove the bracket on the right of the equation:
     Right side of the equation = 250000 + x ( x +
303
10
 − 20) +
303
10
( x +
303
10
 − 20) − 20( x +
303
10
 − 20)
                                               = 250000 + x x + x ×
303
10
 − x × 20 +
303
10
( x +
303
10
 − 20) − 20( x +
303
10
 − 20)
                                               = 250000 + x x +
103
10
 x +
303
10
( x +
303
10
 − 20) − 20( x +
303
10
 − 20)
                                               = 250000 + x x +
103
10
 x +
303
10
 x +
303
10
 ×
303
10
 −
303
10
 × 20 − 20
                                               = 250000 + x x +
103
10
 x +
303
10
 x +
91809
100
 − 606 − 20( x +
303
10
 − 20)
                                               =
25031209
100
 + x x +
203
5
 x − 20( x +
303
10
 − 20)
                                               =
25031209
100
 + x x +
203
5
 x − 20 x − 20 ×
303
10
 + 20 × 20
                                               =
25031209
100
 + x x +
203
5
 x − 20 x − 606 + 400
                                               =
25010609
100
 + x x +
103
5
 x
    The equation is transformed into :
      x x + 430 x + 46225 =
25010609
100
 + x x +
103
5
 x

    
        x≈497.999731 , keep 6 decimal places    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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