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Simplifying 4 = x2 + 9x + 18 Reorder the terms: 4 = 18 + 9x + x2 Solving 4 = 18 + 9x + x2 Solving for variable 'x'. Combine like terms: 4 + -18 = -14 -14 + -9x + -1x2 = 18 + 9x + x2 + -18 + -9x + -1x2 Reorder the terms: -14 + -9x + -1x2 = 18 + -18 + 9x + -9x + x2 + -1x2 Combine like terms: 18 + -18 = 0 -14 + -9x + -1x2 = 0 + 9x + -9x + x2 + -1x2 -14 + -9x + -1x2 = 9x + -9x + x2 + -1x2 Combine like terms: 9x + -9x = 0 -14 + -9x + -1x2 = 0 + x2 + -1x2 -14 + -9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 + -9x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(14 + 9x + x2) = 0 Factor a trinomial. -1((7 + x)(2 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-7, -2}
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