-4x^2-4x=x^3

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


Simplifying
-4x2 + -4x = x3

Reorder the terms:
-4x + -4x2 = x3

Solving
-4x + -4x2 = x3

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(4 + 4x + x2) = 0

Factor a trinomial.
-1x((2 + x)(2 + x)) = 0

Ignore the factor -1.

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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 3

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {0, -2, -2}

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