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Simplifying 9x2 + 9 = -18x Reorder the terms: 9 + 9x2 = -18x Solving 9 + 9x2 = -18x Solving for variable 'x'. Reorder the terms: 9 + 18x + 9x2 = -18x + 18x Combine like terms: -18x + 18x = 0 9 + 18x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(1 + 2x + x2) = 0 Factor a trinomial. 9((1 + x)(1 + x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1, -1}
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