3x^2=-12x-12

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Solution for 3x^2=-12x-12 equation:


Simplifying
3x2 = -12x + -12

Reorder the terms:
3x2 = -12 + -12x

Solving
3x2 = -12 + -12x

Solving for variable 'x'.

Reorder the terms:
12 + 12x + 3x2 = -12 + -12x + 12 + 12x

Reorder the terms:
12 + 12x + 3x2 = -12 + 12 + -12x + 12x

Combine like terms: -12 + 12 = 0
12 + 12x + 3x2 = 0 + -12x + 12x
12 + 12x + 3x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
12 + 12x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + 4x + x2) = 0

Factor a trinomial.
3((2 + x)(2 + x)) = 0

Ignore the factor 3.

Subproblem 1

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 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

Solution

x = {-2, -2}

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