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Simplifying (3x + -36)(2x + 26) = 0 Reorder the terms: (-36 + 3x)(2x + 26) = 0 Reorder the terms: (-36 + 3x)(26 + 2x) = 0 Multiply (-36 + 3x) * (26 + 2x) (-36(26 + 2x) + 3x * (26 + 2x)) = 0 ((26 * -36 + 2x * -36) + 3x * (26 + 2x)) = 0 ((-936 + -72x) + 3x * (26 + 2x)) = 0 (-936 + -72x + (26 * 3x + 2x * 3x)) = 0 (-936 + -72x + (78x + 6x2)) = 0 Combine like terms: -72x + 78x = 6x (-936 + 6x + 6x2) = 0 Solving -936 + 6x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-156 + x + x2) = 0 Factor a trinomial. 6((-13 + -1x)(12 + -1x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-13, 12}
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