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Simplifying 2x^{2}+ 10x + 12 = 0 Reorder the terms: 12 + 10x + 2x^{2}= 0 Solving 12 + 10x + 2x^{2}= 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 5x + x^{2}) = 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 = -3## Subproblem 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 = -2## Solution

x = {-3, -2}

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