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Simplifying (w + -9)(w + -4) = 0 Reorder the terms: (-9 + w)(w + -4) = 0 Reorder the terms: (-9 + w)(-4 + w) = 0 Multiply (-9 + w) * (-4 + w) (-9(-4 + w) + w(-4 + w)) = 0 ((-4 * -9 + w * -9) + w(-4 + w)) = 0 ((36 + -9w) + w(-4 + w)) = 0 (36 + -9w + (-4 * w + w * w)) = 0 (36 + -9w + (-4w + w2)) = 0 Combine like terms: -9w + -4w = -13w (36 + -13w + w2) = 0 Solving 36 + -13w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -1w)(9 + -1w) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Solution
w = {4, 9}
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