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Simplifying (x + 3)(8x + -4x + 4) = 0 Reorder the terms: (3 + x)(8x + -4x + 4) = 0 Reorder the terms: (3 + x)(4 + 8x + -4x) = 0 Combine like terms: 8x + -4x = 4x (3 + x)(4 + 4x) = 0 Multiply (3 + x) * (4 + 4x) (3(4 + 4x) + x(4 + 4x)) = 0 ((4 * 3 + 4x * 3) + x(4 + 4x)) = 0 ((12 + 12x) + x(4 + 4x)) = 0 (12 + 12x + (4 * x + 4x * x)) = 0 (12 + 12x + (4x + 4x2)) = 0 Combine like terms: 12x + 4x = 16x (12 + 16x + 4x2) = 0 Solving 12 + 16x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(3 + 4x + x2) = 0 Factor a trinomial. 4((3 + x)(1 + x)) = 0 Ignore the factor 4.Subproblem 1
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 = -3Subproblem 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 = {-3, -1}
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