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Simplifying 0 = x2 + 18x + 45 Reorder the terms: 0 = 45 + 18x + x2 Solving 0 = 45 + 18x + x2 Solving for variable 'x'. Combine like terms: 0 + -45 = -45 -45 + -18x + -1x2 = 45 + 18x + x2 + -45 + -18x + -1x2 Reorder the terms: -45 + -18x + -1x2 = 45 + -45 + 18x + -18x + x2 + -1x2 Combine like terms: 45 + -45 = 0 -45 + -18x + -1x2 = 0 + 18x + -18x + x2 + -1x2 -45 + -18x + -1x2 = 18x + -18x + x2 + -1x2 Combine like terms: 18x + -18x = 0 -45 + -18x + -1x2 = 0 + x2 + -1x2 -45 + -18x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -45 + -18x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(45 + 18x + x2) = 0 Factor a trinomial. -1((15 + x)(3 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 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 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-15, -3}
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