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Simplifying (w + -1)(w + 8) = 0 Reorder the terms: (-1 + w)(w + 8) = 0 Reorder the terms: (-1 + w)(8 + w) = 0 Multiply (-1 + w) * (8 + w) (-1(8 + w) + w(8 + w)) = 0 ((8 * -1 + w * -1) + w(8 + w)) = 0 ((-8 + -1w) + w(8 + w)) = 0 (-8 + -1w + (8 * w + w * w)) = 0 (-8 + -1w + (8w + w2)) = 0 Combine like terms: -1w + 8w = 7w (-8 + 7w + w2) = 0 Solving -8 + 7w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + -1w)(1 + -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 '(1 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Solution
w = {-8, 1}
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