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Simplifying 0 = x2 + 12x + 20 Reorder the terms: 0 = 20 + 12x + x2 Solving 0 = 20 + 12x + x2 Solving for variable 'x'. Combine like terms: 0 + -20 = -20 -20 + -12x + -1x2 = 20 + 12x + x2 + -20 + -12x + -1x2 Reorder the terms: -20 + -12x + -1x2 = 20 + -20 + 12x + -12x + x2 + -1x2 Combine like terms: 20 + -20 = 0 -20 + -12x + -1x2 = 0 + 12x + -12x + x2 + -1x2 -20 + -12x + -1x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 -20 + -12x + -1x2 = 0 + x2 + -1x2 -20 + -12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + -12x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 12x + x2) = 0 Factor a trinomial. -1((10 + x)(2 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 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 = {-10, -2}
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