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Simplifying 8x2 + 48x + 144 = 3600 Reorder the terms: 144 + 48x + 8x2 = 3600 Solving 144 + 48x + 8x2 = 3600 Solving for variable 'x'. Reorder the terms: 144 + -3600 + 48x + 8x2 = 3600 + -3600 Combine like terms: 144 + -3600 = -3456 -3456 + 48x + 8x2 = 3600 + -3600 Combine like terms: 3600 + -3600 = 0 -3456 + 48x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-432 + 6x + x2) = 0 Factor a trinomial. 8((-24 + -1x)(18 + -1x)) = 0 Ignore the factor 8.Subproblem 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 '(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 = {-24, 18}
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