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Simplifying (x + -5)(3x) = 72 Reorder the terms: (-5 + x)(3x) = 72 Remove parenthesis around (3x) (-5 + x) * 3x = 72 Reorder the terms for easier multiplication: 3x(-5 + x) = 72 (-5 * 3x + x * 3x) = 72 (-15x + 3x2) = 72 Solving -15x + 3x2 = 72 Solving for variable 'x'. Reorder the terms: -72 + -15x + 3x2 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + -15x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + -5x + x2) = 0 Factor a trinomial. 3((-3 + -1x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-3, 8}
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