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Simplifying (x + -2)(x + 4) = -8 Reorder the terms: (-2 + x)(x + 4) = -8 Reorder the terms: (-2 + x)(4 + x) = -8 Multiply (-2 + x) * (4 + x) (-2(4 + x) + x(4 + x)) = -8 ((4 * -2 + x * -2) + x(4 + x)) = -8 ((-8 + -2x) + x(4 + x)) = -8 (-8 + -2x + (4 * x + x * x)) = -8 (-8 + -2x + (4x + x2)) = -8 Combine like terms: -2x + 4x = 2x (-8 + 2x + x2) = -8 Add '8' to each side of the equation. -8 + 2x + 8 + x2 = -8 + 8 Reorder the terms: -8 + 8 + 2x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 0 + 2x + x2 = -8 + 8 2x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 2x + x2 = 0 Solving 2x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + x) = 0Subproblem 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 = 0Subproblem 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 = {0, -2}
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