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Simplifying 2x(x + 3) = 360 Reorder the terms: 2x(3 + x) = 360 (3 * 2x + x * 2x) = 360 (6x + 2x2) = 360 Solving 6x + 2x2 = 360 Solving for variable 'x'. Reorder the terms: -360 + 6x + 2x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -360 + 6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-180 + 3x + x2) = 0 Factor a trinomial. 2((-15 + -1x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15Subproblem 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 = {-15, 12}
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