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Simplifying 5x(3x + 12) = 180 Reorder the terms: 5x(12 + 3x) = 180 (12 * 5x + 3x * 5x) = 180 (60x + 15x2) = 180 Solving 60x + 15x2 = 180 Solving for variable 'x'. Reorder the terms: -180 + 60x + 15x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 60x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(-12 + 4x + x2) = 0 Factor a trinomial. 15((-6 + -1x)(2 + -1x)) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-6, 2}
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