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Simplifying (12x + -36)(33 + -11x) = 0 Reorder the terms: (-36 + 12x)(33 + -11x) = 0 Multiply (-36 + 12x) * (33 + -11x) (-36(33 + -11x) + 12x * (33 + -11x)) = 0 ((33 * -36 + -11x * -36) + 12x * (33 + -11x)) = 0 ((-1188 + 396x) + 12x * (33 + -11x)) = 0 (-1188 + 396x + (33 * 12x + -11x * 12x)) = 0 (-1188 + 396x + (396x + -132x2)) = 0 Combine like terms: 396x + 396x = 792x (-1188 + 792x + -132x2) = 0 Solving -1188 + 792x + -132x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '132'. 132(-9 + 6x + -1x2) = 0 Factor a trinomial. 132((-3 + x)(3 + -1x)) = 0 Ignore the factor 132.Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 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 = {3, 3}
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