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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 0.72*(90+2x)(40+2x) = 3600 .
    Question type: Equation
    Solution:Original question:
     
18
25
(90 + 2 x )(40 + 2 x ) = 3600
    Remove the bracket on the left of the equation:
     Left side of the equation =
18
25
× 90(40 + 2 x ) +
18
25
× 2 x (40 + 2 x )
                                             =
324
5
(40 + 2 x ) +
36
25
x (40 + 2 x )
                                             =
324
5
× 40 +
324
5
× 2 x +
36
25
x (40 + 2 x )
                                             = 2592 +
648
5
x +
36
25
x (40 + 2 x )
                                             = 2592 +
648
5
x +
36
25
x × 40 +
36
25
x × 2 x
                                             = 2592 +
648
5
x +
288
5
x +
72
25
x x
                                             = 2592 +
936
5
x +
72
25
x x
    The equation is transformed into :
     2592 +
936
5
x +
72
25
x x = 3600

    After the equation is converted into a general formula, it is converted into:
    ( x + 70 )( x - 5 )=0
    From
        x + 70 = 0
        x - 5 = 0

    it is concluded that::
        x1=-70
        x2=5
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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