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Simplifying -6x = (2x2) + -8 Reorder the terms: -6x = -8 + (2x2) Solving -6x = -8 + (2x2) Solving for variable 'x'. Reorder the terms: 8 + -6x + (-2x2) = -8 + (2x2) + 8 + (-2x2) Reorder the terms: 8 + -6x + (-2x2) = -8 + 8 + (2x2) + (-2x2) Combine like terms: -8 + 8 = 0 8 + -6x + (-2x2) = 0 + (2x2) + (-2x2) 8 + -6x + (-2x2) = (2x2) + (-2x2) Combine like terms: (2x2) + (-2x2) = 0 8 + -6x + (-2x2) = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -3x + (-1x2)) = 0 Factor a trinomial. 2((1 + -1x)(4 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
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 = -4Solution
x = {1, -4}
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