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Simplifying (2X + 8)(2X + 6) = 0 Reorder the terms: (8 + 2X)(2X + 6) = 0 Reorder the terms: (8 + 2X)(6 + 2X) = 0 Multiply (8 + 2X) * (6 + 2X) (8(6 + 2X) + 2X * (6 + 2X)) = 0 ((6 * 8 + 2X * 8) + 2X * (6 + 2X)) = 0 ((48 + 16X) + 2X * (6 + 2X)) = 0 (48 + 16X + (6 * 2X + 2X * 2X)) = 0 (48 + 16X + (12X + 4X2)) = 0 Combine like terms: 16X + 12X = 28X (48 + 28X + 4X2) = 0 Solving 48 + 28X + 4X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4'. 4(12 + 7X + X2) = 0 Factor a trinomial. 4((4 + X)(3 + X)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4Subproblem 2
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 = -3Solution
X = {-4, -3}
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