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Simplifying (3x + -6)(4x + -8) = 0 Reorder the terms: (-6 + 3x)(4x + -8) = 0 Reorder the terms: (-6 + 3x)(-8 + 4x) = 0 Multiply (-6 + 3x) * (-8 + 4x) (-6(-8 + 4x) + 3x * (-8 + 4x)) = 0 ((-8 * -6 + 4x * -6) + 3x * (-8 + 4x)) = 0 ((48 + -24x) + 3x * (-8 + 4x)) = 0 (48 + -24x + (-8 * 3x + 4x * 3x)) = 0 (48 + -24x + (-24x + 12x2)) = 0 Combine like terms: -24x + -24x = -48x (48 + -48x + 12x2) = 0 Solving 48 + -48x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(4 + -4x + x2) = 0 Factor a trinomial. 12((2 + -1x)(2 + -1x)) = 0 Ignore the factor 12.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 '(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 = 2Solution
x = {2, 2}
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