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