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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 36*(0.16*x+1) = x*(0.04*x+1)*(0.25*x+1)*(0.0064*x+1) .
    Question type: Equation
    Solution:Original question:
     36(
4
25
x + 1) = x (
1
25
x + 1)(
1
4
x + 1)(
4
625
x + 1)
    Remove the bracket on the left of the equation:
     Left side of the equation = 36 ×
4
25
x + 36 × 1
                                             =
144
25
x + 36
    The equation is transformed into :
     
144
25
x + 36 = x (
1
25
x + 1)(
1
4
x + 1)(
4
625
x + 1)
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
1
25
x (
1
4
x + 1)(
4
625
x + 1) + x × 1(
1
4
x + 1)(
4
625
x + 1)
                                               = x ×
1
25
x ×
1
4
x (
4
625
x + 1) + x ×
1
25
x × 1(
4
625
x + 1) + x
                                               = x ×
1
100
x x (
4
625
x + 1) + x ×
1
25
x (
4
625
x + 1) + x × 1(
1
4
x + 1)
                                               = x ×
1
100
x x ×
4
625
x + x ×
1
100
x x × 1 + x
                                               = x ×
1
15625
x x x + x ×
1
100
x x + x ×
1
25
x
                                               = x ×
1
15625
x x x + x ×
1
100
x x + x ×
1
25
x
                                               = x ×
1
15625
x x x + x ×
1
100
x x + x ×
4
15625
x
                                               = x ×
1
15625
x x x + x ×
1
100
x x + x ×
4
15625
x
                                               = x ×
1
15625
x x x + x ×
1
100
x x + x ×
4
15625
x
                                               = x ×
1
15625
x x x + x ×
1
100
x x + x ×
4
15625
x
                                               = x ×
1
15625
x x x + x ×
1
100
x x + x ×
4
15625
x
                                               = x ×
1
15625
x x x + x ×
1
100
x x + x ×
4
15625
x
                                               = x ×
1
15625
x x x + x ×
1
100
x x + x ×
4
15625
x
    The equation is transformed into :
     
144
25
x + 36 = x ×
1
15625
x x x + x ×
1
100
x x + x ×
4
15625
x

    The solution of the equation:
        x1≈-151.634455 , keep 6 decimal places
        x2≈-42.523326 , keep 6 decimal places
        x3≈-5.893741 , keep 6 decimal places
        x4≈14.801522 , keep 6 decimal places
    
    There are 4 solution(s).


解程的详细方法请参阅:《方程的解法》



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