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Simplifying 0 = x2 + 14x + 24 Reorder the terms: 0 = 24 + 14x + x2 Solving 0 = 24 + 14x + x2 Solving for variable 'x'. Combine like terms: 0 + -24 = -24 -24 + -14x + -1x2 = 24 + 14x + x2 + -24 + -14x + -1x2 Reorder the terms: -24 + -14x + -1x2 = 24 + -24 + 14x + -14x + x2 + -1x2 Combine like terms: 24 + -24 = 0 -24 + -14x + -1x2 = 0 + 14x + -14x + x2 + -1x2 -24 + -14x + -1x2 = 14x + -14x + x2 + -1x2 Combine like terms: 14x + -14x = 0 -24 + -14x + -1x2 = 0 + x2 + -1x2 -24 + -14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -24 + -14x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(24 + 14x + x2) = 0 Factor a trinomial. -1((12 + x)(2 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 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 = {-12, -2}
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