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Simplifying 0 = 3x2 + 36x + 81 Reorder the terms: 0 = 81 + 36x + 3x2 Solving 0 = 81 + 36x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -81 = -81 -81 + -36x + -3x2 = 81 + 36x + 3x2 + -81 + -36x + -3x2 Reorder the terms: -81 + -36x + -3x2 = 81 + -81 + 36x + -36x + 3x2 + -3x2 Combine like terms: 81 + -81 = 0 -81 + -36x + -3x2 = 0 + 36x + -36x + 3x2 + -3x2 -81 + -36x + -3x2 = 36x + -36x + 3x2 + -3x2 Combine like terms: 36x + -36x = 0 -81 + -36x + -3x2 = 0 + 3x2 + -3x2 -81 + -36x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -81 + -36x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(27 + 12x + x2) = 0 Factor a trinomial. -3((9 + x)(3 + x)) = 0 Ignore the factor -3.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 '(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 = {-9, -3}
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