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Simplifying (X + -3)(2X + 8) = 0 Reorder the terms: (-3 + X)(2X + 8) = 0 Reorder the terms: (-3 + X)(8 + 2X) = 0 Multiply (-3 + X) * (8 + 2X) (-3(8 + 2X) + X(8 + 2X)) = 0 ((8 * -3 + 2X * -3) + X(8 + 2X)) = 0 ((-24 + -6X) + X(8 + 2X)) = 0 (-24 + -6X + (8 * X + 2X * X)) = 0 (-24 + -6X + (8X + 2X2)) = 0 Combine like terms: -6X + 8X = 2X (-24 + 2X + 2X2) = 0 Solving -24 + 2X + 2X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + X + X2) = 0 Factor a trinomial. 2((-4 + -1X)(3 + -1X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1X)' equal to zero and attempt to solve: Simplifying -4 + -1X = 0 Solving -4 + -1X = 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 + -1X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1X = 0 + 4 -1X = 0 + 4 Combine like terms: 0 + 4 = 4 -1X = 4 Divide each side by '-1'. X = -4 Simplifying X = -4Subproblem 2
Set the factor '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 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 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Solution
X = {-4, 3}
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