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Simplifying (w + -8)(w + 2) = 0 Reorder the terms: (-8 + w)(w + 2) = 0 Reorder the terms: (-8 + w)(2 + w) = 0 Multiply (-8 + w) * (2 + w) (-8(2 + w) + w(2 + w)) = 0 ((2 * -8 + w * -8) + w(2 + w)) = 0 ((-16 + -8w) + w(2 + w)) = 0 (-16 + -8w + (2 * w + w * w)) = 0 (-16 + -8w + (2w + w2)) = 0 Combine like terms: -8w + 2w = -6w (-16 + -6w + w2) = 0 Solving -16 + -6w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-2 + -1w)(8 + -1w) = 0Subproblem 1
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 = -2Subproblem 2
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 = 8Solution
w = {-2, 8}
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