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Simplifying (6x + 2)(2x + 4) = 0 Reorder the terms: (2 + 6x)(2x + 4) = 0 Reorder the terms: (2 + 6x)(4 + 2x) = 0 Multiply (2 + 6x) * (4 + 2x) (2(4 + 2x) + 6x * (4 + 2x)) = 0 ((4 * 2 + 2x * 2) + 6x * (4 + 2x)) = 0 ((8 + 4x) + 6x * (4 + 2x)) = 0 (8 + 4x + (4 * 6x + 2x * 6x)) = 0 (8 + 4x + (24x + 12x2)) = 0 Combine like terms: 4x + 24x = 28x (8 + 28x + 12x2) = 0 Solving 8 + 28x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(2 + 7x + 3x2) = 0 Factor a trinomial. 4((2 + x)(1 + 3x)) = 0 Ignore the factor 4.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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