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Simplifying (x)(x + 6) = 720 Reorder the terms: x(6 + x) = 720 (6 * x + x * x) = 720 (6x + x2) = 720 Solving 6x + x2 = 720 Solving for variable 'x'. Reorder the terms: -720 + 6x + x2 = 720 + -720 Combine like terms: 720 + -720 = 0 -720 + 6x + x2 = 0 Factor a trinomial. (-30 + -1x)(24 + -1x) = 0Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Solution
x = {-30, 24}
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