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Simplifying x2 + 15x + 54 = 270 Reorder the terms: 54 + 15x + x2 = 270 Solving 54 + 15x + x2 = 270 Solving for variable 'x'. Reorder the terms: 54 + -270 + 15x + x2 = 270 + -270 Combine like terms: 54 + -270 = -216 -216 + 15x + x2 = 270 + -270 Combine like terms: 270 + -270 = 0 -216 + 15x + x2 = 0 Factor a trinomial. (-24 + -1x)(9 + -1x) = 0Subproblem 1
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 = -24Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-24, 9}
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