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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 = -2Subproblem 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 = -2Solution
x = {-2, -2}
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