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Simplifying (4x + 4)(x + 2) = 0 Reorder the terms: (4 + 4x)(x + 2) = 0 Reorder the terms: (4 + 4x)(2 + x) = 0 Multiply (4 + 4x) * (2 + x) (4(2 + x) + 4x * (2 + x)) = 0 ((2 * 4 + x * 4) + 4x * (2 + x)) = 0 ((8 + 4x) + 4x * (2 + x)) = 0 (8 + 4x + (2 * 4x + x * 4x)) = 0 (8 + 4x + (8x + 4x2)) = 0 Combine like terms: 4x + 8x = 12x (8 + 12x + 4x2) = 0 Solving 8 + 12x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(2 + 3x + x2) = 0 Factor a trinomial. 4((2 + x)(1 + x)) = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-2, -1}
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