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Simplifying -3(x + 2)(x + 4) = 0 Reorder the terms: -3(2 + x)(x + 4) = 0 Reorder the terms: -3(2 + x)(4 + x) = 0 Multiply (2 + x) * (4 + x) -3(2(4 + x) + x(4 + x)) = 0 -3((4 * 2 + x * 2) + x(4 + x)) = 0 -3((8 + 2x) + x(4 + x)) = 0 -3(8 + 2x + (4 * x + x * x)) = 0 -3(8 + 2x + (4x + x2)) = 0 Combine like terms: 2x + 4x = 6x -3(8 + 6x + x2) = 0 (8 * -3 + 6x * -3 + x2 * -3) = 0 (-24 + -18x + -3x2) = 0 Solving -24 + -18x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3'. -3(8 + 6x + x2) = 0 Factor a trinomial. -3((4 + x)(2 + x)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 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 = {-4, -2}
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