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Simplifying 2x(x + 8) = 360 Reorder the terms: 2x(8 + x) = 360 (8 * 2x + x * 2x) = 360 (16x + 2x2) = 360 Solving 16x + 2x2 = 360 Solving for variable 'x'. Reorder the terms: -360 + 16x + 2x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -360 + 16x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-180 + 8x + x2) = 0 Factor a trinomial. 2((-18 + -1x)(10 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -18Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-18, 10}
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