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Simplifying (3x + 3)(2x + -8) = 0 Reorder the terms: (3 + 3x)(2x + -8) = 0 Reorder the terms: (3 + 3x)(-8 + 2x) = 0 Multiply (3 + 3x) * (-8 + 2x) (3(-8 + 2x) + 3x * (-8 + 2x)) = 0 ((-8 * 3 + 2x * 3) + 3x * (-8 + 2x)) = 0 ((-24 + 6x) + 3x * (-8 + 2x)) = 0 (-24 + 6x + (-8 * 3x + 2x * 3x)) = 0 (-24 + 6x + (-24x + 6x2)) = 0 Combine like terms: 6x + -24x = -18x (-24 + -18x + 6x2) = 0 Solving -24 + -18x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + -3x + x2) = 0 Factor a trinomial. 6((-1 + -1x)(4 + -1x)) = 0 Ignore the factor 6.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 '(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 = 4Solution
x = {-1, 4}
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