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Simplifying -3x2 = 18x + 27 Reorder the terms: -3x2 = 27 + 18x Solving -3x2 = 27 + 18x Solving for variable 'x'. Reorder the terms: -27 + -18x + -3x2 = 27 + 18x + -27 + -18x Reorder the terms: -27 + -18x + -3x2 = 27 + -27 + 18x + -18x Combine like terms: 27 + -27 = 0 -27 + -18x + -3x2 = 0 + 18x + -18x -27 + -18x + -3x2 = 18x + -18x Combine like terms: 18x + -18x = 0 -27 + -18x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(9 + 6x + x2) = 0 Factor a trinomial. -3((3 + x)(3 + x)) = 0 Ignore the factor -3.Subproblem 1
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 = -3Subproblem 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 = {-3, -3}
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