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Simplifying (x + -1)(2x + -6) = 0 Reorder the terms: (-1 + x)(2x + -6) = 0 Reorder the terms: (-1 + x)(-6 + 2x) = 0 Multiply (-1 + x) * (-6 + 2x) (-1(-6 + 2x) + x(-6 + 2x)) = 0 ((-6 * -1 + 2x * -1) + x(-6 + 2x)) = 0 ((6 + -2x) + x(-6 + 2x)) = 0 (6 + -2x + (-6 * x + 2x * x)) = 0 (6 + -2x + (-6x + 2x2)) = 0 Combine like terms: -2x + -6x = -8x (6 + -8x + 2x2) = 0 Solving 6 + -8x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -4x + x2) = 0 Factor a trinomial. 2((1 + -1x)(3 + -1x)) = 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 '(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 = {1, 3}
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