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Simplifying (4w + -8)(w + 3) = 0 Reorder the terms: (-8 + 4w)(w + 3) = 0 Reorder the terms: (-8 + 4w)(3 + w) = 0 Multiply (-8 + 4w) * (3 + w) (-8(3 + w) + 4w * (3 + w)) = 0 ((3 * -8 + w * -8) + 4w * (3 + w)) = 0 ((-24 + -8w) + 4w * (3 + w)) = 0 (-24 + -8w + (3 * 4w + w * 4w)) = 0 (-24 + -8w + (12w + 4w2)) = 0 Combine like terms: -8w + 12w = 4w (-24 + 4w + 4w2) = 0 Solving -24 + 4w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + w + w2) = 0 Factor a trinomial. 4((-3 + -1w)(2 + -1w)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -1w)' equal to zero and attempt to solve: Simplifying -3 + -1w = 0 Solving -3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 0 + 3 -1w = 0 + 3 Combine like terms: 0 + 3 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {-3, 2}
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