2x^2+4x=-6x^2-12x

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Solution for 2x^2+4x=-6x^2-12x equation:


Simplifying
2x2 + 4x = -6x2 + -12x

Reorder the terms:
4x + 2x2 = -6x2 + -12x

Reorder the terms:
4x + 2x2 = -12x + -6x2

Solving
4x + 2x2 = -12x + -6x2

Solving for variable 'x'.

Reorder the terms:
4x + 12x + 2x2 + 6x2 = -12x + -6x2 + 12x + 6x2

Combine like terms: 4x + 12x = 16x
16x + 2x2 + 6x2 = -12x + -6x2 + 12x + 6x2

Combine like terms: 2x2 + 6x2 = 8x2
16x + 8x2 = -12x + -6x2 + 12x + 6x2

Reorder the terms:
16x + 8x2 = -12x + 12x + -6x2 + 6x2

Combine like terms: -12x + 12x = 0
16x + 8x2 = 0 + -6x2 + 6x2
16x + 8x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
16x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(2 + x) = 0

Ignore the factor 8.

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

Solution

x = {0, -2}

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