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Simplifying (x + 8)(4x + 2) = 0 Reorder the terms: (8 + x)(4x + 2) = 0 Reorder the terms: (8 + x)(2 + 4x) = 0 Multiply (8 + x) * (2 + 4x) (8(2 + 4x) + x(2 + 4x)) = 0 ((2 * 8 + 4x * 8) + x(2 + 4x)) = 0 ((16 + 32x) + x(2 + 4x)) = 0 (16 + 32x + (2 * x + 4x * x)) = 0 (16 + 32x + (2x + 4x2)) = 0 Combine like terms: 32x + 2x = 34x (16 + 34x + 4x2) = 0 Solving 16 + 34x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 17x + 2x2) = 0 Factor a trinomial. 2((8 + x)(1 + 2x)) = 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-8, -0.5}
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