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Simplifying (w + -4)(w + 8) = 0 Reorder the terms: (-4 + w)(w + 8) = 0 Reorder the terms: (-4 + w)(8 + w) = 0 Multiply (-4 + w) * (8 + w) (-4(8 + w) + w(8 + w)) = 0 ((8 * -4 + w * -4) + w(8 + w)) = 0 ((-32 + -4w) + w(8 + w)) = 0 (-32 + -4w + (8 * w + w * w)) = 0 (-32 + -4w + (8w + w2)) = 0 Combine like terms: -4w + 8w = 4w (-32 + 4w + w2) = 0 Solving -32 + 4w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + -1w)(4 + -1w) = 0Subproblem 1
Set the factor '(-8 + -1w)' equal to zero and attempt to solve: Simplifying -8 + -1w = 0 Solving -8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = 0 + 8 -1w = 0 + 8 Combine like terms: 0 + 8 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Solution
w = {-8, 4}
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