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Simplifying x2 + 8x + 2 = (-1x2) + 6x + 26 Reorder the terms: 2 + 8x + x2 = (-1x2) + 6x + 26 Reorder the terms: 2 + 8x + x2 = 26 + 6x + (-1x2) Solving 2 + 8x + x2 = 26 + 6x + (-1x2) Solving for variable 'x'. 2 + 8x + x2 + -26 + -6x + x2 = 26 + 6x + (-1x2) + -26 + -6x + (x2) Reorder the terms: 2 + -26 + 8x + -6x + x2 + x2 = 26 + 6x + (-1x2) + -26 + -6x + (x2) Combine like terms: 2 + -26 = -24 -24 + 8x + -6x + x2 + x2 = 26 + 6x + (-1x2) + -26 + -6x + (x2) Combine like terms: 8x + -6x = 2x -24 + 2x + x2 + x2 = 26 + 6x + (-1x2) + -26 + -6x + (x2) Combine like terms: x2 + x2 = 2x2 -24 + 2x + 2x2 = 26 + 6x + (-1x2) + -26 + -6x + (x2) -24 + 2x + 2x2 = 26 + 6x + (-1x2) + -26 + -6x + x2 Reorder the terms: -24 + 2x + 2x2 = 26 + -26 + 6x + -6x + (-1x2) + x2 Combine like terms: 26 + -26 = 0 -24 + 2x + 2x2 = 0 + 6x + -6x + (-1x2) + x2 -24 + 2x + 2x2 = 6x + -6x + (-1x2) + x2 Combine like terms: 6x + -6x = 0 -24 + 2x + 2x2 = 0 + (-1x2) + x2 -24 + 2x + 2x2 = (-1x2) + x2 Combine like terms: (-1x2) + x2 = 0 -24 + 2x + 2x2 = 0 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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