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Simplifying (6X + 12)(X + -3) = 0 Reorder the terms: (12 + 6X)(X + -3) = 0 Reorder the terms: (12 + 6X)(-3 + X) = 0 Multiply (12 + 6X) * (-3 + X) (12(-3 + X) + 6X * (-3 + X)) = 0 ((-3 * 12 + X * 12) + 6X * (-3 + X)) = 0 ((-36 + 12X) + 6X * (-3 + X)) = 0 (-36 + 12X + (-3 * 6X + X * 6X)) = 0 (-36 + 12X + (-18X + 6X2)) = 0 Combine like terms: 12X + -18X = -6X (-36 + -6X + 6X2) = 0 Solving -36 + -6X + 6X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '6'. 6(-6 + -1X + X2) = 0 Factor a trinomial. 6((-2 + -1X)(3 + -1X)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + -1X)' equal to zero and attempt to solve: Simplifying -2 + -1X = 0 Solving -2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1X = 0 + 2 -1X = 0 + 2 Combine like terms: 0 + 2 = 2 -1X = 2 Divide each side by '-1'. X = -2 Simplifying X = -2Subproblem 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 = {-2, 3}
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