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Simplifying 360 = x(x + 9) Reorder the terms: 360 = x(9 + x) 360 = (9 * x + x * x) 360 = (9x + x2) Solving 360 = 9x + x2 Solving for variable 'x'. Reorder the terms: 360 + -9x + -1x2 = 9x + -9x + x2 + -1x2 Combine like terms: 9x + -9x = 0 360 + -9x + -1x2 = 0 + x2 + -1x2 360 + -9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 360 + -9x + -1x2 = 0 Factor a trinomial. (15 + -1x)(24 + x) = 0Subproblem 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 '(24 + x)' equal to zero and attempt to solve: Simplifying 24 + x = 0 Solving 24 + x = 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 + x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x = 0 + -24 x = 0 + -24 Combine like terms: 0 + -24 = -24 x = -24 Simplifying x = -24Solution
x = {15, -24}
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