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Simplifying (x + -3)(3x + 12) = 0 Reorder the terms: (-3 + x)(3x + 12) = 0 Reorder the terms: (-3 + x)(12 + 3x) = 0 Multiply (-3 + x) * (12 + 3x) (-3(12 + 3x) + x(12 + 3x)) = 0 ((12 * -3 + 3x * -3) + x(12 + 3x)) = 0 ((-36 + -9x) + x(12 + 3x)) = 0 (-36 + -9x + (12 * x + 3x * x)) = 0 (-36 + -9x + (12x + 3x2)) = 0 Combine like terms: -9x + 12x = 3x (-36 + 3x + 3x2) = 0 Solving -36 + 3x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + x + x2) = 0 Factor a trinomial. 3((-4 + -1x)(3 + -1x)) = 0 Ignore the factor 3.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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