2x(x+2)+8=-4x

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Solution for 2x(x+2)+8=-4x equation:


Simplifying
2x(x + 2) + 8 = -4x

Reorder the terms:
2x(2 + x) + 8 = -4x
(2 * 2x + x * 2x) + 8 = -4x
(4x + 2x2) + 8 = -4x

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

Solving
8 + 4x + 2x2 = -4x

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 4x + x2) = 0

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

Ignore the factor 2.

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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