x^2-2x^3=36x

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Solution for x^2-2x^3=36x equation: 


Simplifying
x2 + -2x3 = 36x

Solving
x2 + -2x3 = 36x

Solving for variable 'x'.

Reorder the terms:
-36x + x2 + -2x3 = 36x + -36x

Combine like terms: 36x + -36x = 0
-36x + x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-36 + x + -2x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-36 + x + -2x2)' equal to zero and attempt to solve:

Simplifying
-36 + x + -2x2 = 0

Solving
-36 + x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
18 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -0.5x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + -0.5x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -0.5x + x2 = 0 + -18
-0.5x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-0.5x + x2 = -18

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.5x + 0.25 + x2 = -18 + 0.25

Reorder the terms:
0.25 + -0.5x + x2 = -18 + 0.25

Combine like terms: -18 + 0.25 = -17.75
0.25 + -0.5x + x2 = -17.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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