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Simplifying -1X2 + -6X + -8 = 0 Reorder the terms: -8 + -6X + -1X2 = 0 Solving -8 + -6X + -1X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 6X + X2) = 0 Factor a trinomial. -1((4 + X)(2 + X)) = 0 Ignore the factor -1.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 '(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 = -2Solution
X = {-4, -2}
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