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Simplifying 0 = 2x2 + 10x + 12 Reorder the terms: 0 = 12 + 10x + 2x2 Solving 0 = 12 + 10x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -12 = -12 -12 + -10x + -2x2 = 12 + 10x + 2x2 + -12 + -10x + -2x2 Reorder the terms: -12 + -10x + -2x2 = 12 + -12 + 10x + -10x + 2x2 + -2x2 Combine like terms: 12 + -12 = 0 -12 + -10x + -2x2 = 0 + 10x + -10x + 2x2 + -2x2 -12 + -10x + -2x2 = 10x + -10x + 2x2 + -2x2 Combine like terms: 10x + -10x = 0 -12 + -10x + -2x2 = 0 + 2x2 + -2x2 -12 + -10x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -12 + -10x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(6 + 5x + x2) = 0 Factor a trinomial. -2((3 + x)(2 + x)) = 0 Ignore the factor -2.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 '(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 = {-3, -2}
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