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Simplifying 1 = 6x2 + -12x + -17 Reorder the terms: 1 = -17 + -12x + 6x2 Solving 1 = -17 + -12x + 6x2 Solving for variable 'x'. Combine like terms: 1 + 17 = 18 18 + 12x + -6x2 = -17 + -12x + 6x2 + 17 + 12x + -6x2 Reorder the terms: 18 + 12x + -6x2 = -17 + 17 + -12x + 12x + 6x2 + -6x2 Combine like terms: -17 + 17 = 0 18 + 12x + -6x2 = 0 + -12x + 12x + 6x2 + -6x2 18 + 12x + -6x2 = -12x + 12x + 6x2 + -6x2 Combine like terms: -12x + 12x = 0 18 + 12x + -6x2 = 0 + 6x2 + -6x2 18 + 12x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 18 + 12x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(3 + 2x + -1x2) = 0 Factor a trinomial. 6((3 + -1x)(1 + x)) = 0 Ignore the factor 6.Subproblem 1
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 = 3Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {3, -1}
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