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Simplifying 0 = 2x2 + 22x + 48 Reorder the terms: 0 = 48 + 22x + 2x2 Solving 0 = 48 + 22x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -48 = -48 -48 + -22x + -2x2 = 48 + 22x + 2x2 + -48 + -22x + -2x2 Reorder the terms: -48 + -22x + -2x2 = 48 + -48 + 22x + -22x + 2x2 + -2x2 Combine like terms: 48 + -48 = 0 -48 + -22x + -2x2 = 0 + 22x + -22x + 2x2 + -2x2 -48 + -22x + -2x2 = 22x + -22x + 2x2 + -2x2 Combine like terms: 22x + -22x = 0 -48 + -22x + -2x2 = 0 + 2x2 + -2x2 -48 + -22x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -48 + -22x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(24 + 11x + x2) = 0 Factor a trinomial. -2((8 + x)(3 + x)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
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 = -3Solution
x = {-8, -3}
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