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Simplifying (2x + -6)(x + 6) = 720 Reorder the terms: (-6 + 2x)(x + 6) = 720 Reorder the terms: (-6 + 2x)(6 + x) = 720 Multiply (-6 + 2x) * (6 + x) (-6(6 + x) + 2x * (6 + x)) = 720 ((6 * -6 + x * -6) + 2x * (6 + x)) = 720 ((-36 + -6x) + 2x * (6 + x)) = 720 (-36 + -6x + (6 * 2x + x * 2x)) = 720 (-36 + -6x + (12x + 2x2)) = 720 Combine like terms: -6x + 12x = 6x (-36 + 6x + 2x2) = 720 Solving -36 + 6x + 2x2 = 720 Solving for variable 'x'. Reorder the terms: -36 + -720 + 6x + 2x2 = 720 + -720 Combine like terms: -36 + -720 = -756 -756 + 6x + 2x2 = 720 + -720 Combine like terms: 720 + -720 = 0 -756 + 6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-378 + 3x + x2) = 0 Factor a trinomial. 2((-21 + -1x)(18 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve: Simplifying -21 + -1x = 0 Solving -21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 0 + 21 -1x = 0 + 21 Combine like terms: 0 + 21 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-21, 18}
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