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Simplifying (2x + 6)(x + -6) = 0 Reorder the terms: (6 + 2x)(x + -6) = 0 Reorder the terms: (6 + 2x)(-6 + x) = 0 Multiply (6 + 2x) * (-6 + x) (6(-6 + x) + 2x * (-6 + x)) = 0 ((-6 * 6 + x * 6) + 2x * (-6 + x)) = 0 ((-36 + 6x) + 2x * (-6 + x)) = 0 (-36 + 6x + (-6 * 2x + x * 2x)) = 0 (-36 + 6x + (-12x + 2x2)) = 0 Combine like terms: 6x + -12x = -6x (-36 + -6x + 2x2) = 0 Solving -36 + -6x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + -3x + x2) = 0 Factor a trinomial. 2((-3 + -1x)(6 + -1x)) = 0 Ignore the factor 2.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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-3, 6}
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