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Simplifying (2x + 6)(x + 8) = 0 Reorder the terms: (6 + 2x)(x + 8) = 0 Reorder the terms: (6 + 2x)(8 + x) = 0 Multiply (6 + 2x) * (8 + x) (6(8 + x) + 2x * (8 + x)) = 0 ((8 * 6 + x * 6) + 2x * (8 + x)) = 0 ((48 + 6x) + 2x * (8 + x)) = 0 (48 + 6x + (8 * 2x + x * 2x)) = 0 (48 + 6x + (16x + 2x2)) = 0 Combine like terms: 6x + 16x = 22x (48 + 22x + 2x2) = 0 Solving 48 + 22x + 2x2 = 0 Solving for variable 'x'. 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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