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Simplifying 0 = x2 + 18x + 81 Reorder the terms: 0 = 81 + 18x + x2 Solving 0 = 81 + 18x + x2 Solving for variable 'x'. Combine like terms: 0 + -81 = -81 -81 + -18x + -1x2 = 81 + 18x + x2 + -81 + -18x + -1x2 Reorder the terms: -81 + -18x + -1x2 = 81 + -81 + 18x + -18x + x2 + -1x2 Combine like terms: 81 + -81 = 0 -81 + -18x + -1x2 = 0 + 18x + -18x + x2 + -1x2 -81 + -18x + -1x2 = 18x + -18x + x2 + -1x2 Combine like terms: 18x + -18x = 0 -81 + -18x + -1x2 = 0 + x2 + -1x2 -81 + -18x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -81 + -18x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(81 + 18x + x2) = 0 Factor a trinomial. -1((9 + x)(9 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {-9, -9}
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