4x-8x-x^3+2x^2=

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Solution for 4x-8x-x^3+2x^2= equation: 


Simplifying
4x + -8x + -1x3 + 2x2 = 0

Reorder the terms:
4x + -8x + 2x2 + -1x3 = 0

Combine like terms: 4x + -8x = -4x
-4x + 2x2 + -1x3 = 0

Solving
-4x + 2x2 + -1x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 2x + -1x2) = 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 '(-4 + 2x + -1x2)' equal to zero and attempt to solve:

Simplifying
-4 + 2x + -1x2 = 0

Solving
-4 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
4 + -2x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -2x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2x + x2 = 0 + -4
-2x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2x + x2 = -4

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -4 + 1

Reorder the terms:
1 + -2x + x2 = -4 + 1

Combine like terms: -4 + 1 = -3
1 + -2x + x2 = -3

Factor a perfect square on the left side:
(x + -1)(x + -1) = -3

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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