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Simplifying 2(x + -3)(x + 4) = 0 Reorder the terms: 2(-3 + x)(x + 4) = 0 Reorder the terms: 2(-3 + x)(4 + x) = 0 Multiply (-3 + x) * (4 + x) 2(-3(4 + x) + x(4 + x)) = 0 2((4 * -3 + x * -3) + x(4 + x)) = 0 2((-12 + -3x) + x(4 + x)) = 0 2(-12 + -3x + (4 * x + x * x)) = 0 2(-12 + -3x + (4x + x2)) = 0 Combine like terms: -3x + 4x = 1x 2(-12 + 1x + x2) = 0 (-12 * 2 + 1x * 2 + x2 * 2) = 0 (-24 + 2x + 2x2) = 0 Solving -24 + 2x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + x + x2) = 0 Factor a trinomial. 2((-4 + -1x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-4, 3}
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