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Simplifying (6x + 2)(4x + 8) = 0 Reorder the terms: (2 + 6x)(4x + 8) = 0 Reorder the terms: (2 + 6x)(8 + 4x) = 0 Multiply (2 + 6x) * (8 + 4x) (2(8 + 4x) + 6x * (8 + 4x)) = 0 ((8 * 2 + 4x * 2) + 6x * (8 + 4x)) = 0 ((16 + 8x) + 6x * (8 + 4x)) = 0 (16 + 8x + (8 * 6x + 4x * 6x)) = 0 (16 + 8x + (48x + 24x2)) = 0 Combine like terms: 8x + 48x = 56x (16 + 56x + 24x2) = 0 Solving 16 + 56x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(2 + 7x + 3x2) = 0 Factor a trinomial. 8((2 + x)(1 + 3x)) = 0 Ignore the factor 8.Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-2, -0.3333333333}
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