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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 + -1x + x2) = 0 Factor a trinomial. 3((-3 + -1x)(4 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = -3Subproblem 2
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 = 4Solution
x = {-3, 4}
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