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