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Simplifying (w + 5)(w + -18) = 0 Reorder the terms: (5 + w)(w + -18) = 0 Reorder the terms: (5 + w)(-18 + w) = 0 Multiply (5 + w) * (-18 + w) (5(-18 + w) + w(-18 + w)) = 0 ((-18 * 5 + w * 5) + w(-18 + w)) = 0 ((-90 + 5w) + w(-18 + w)) = 0 (-90 + 5w + (-18 * w + w * w)) = 0 (-90 + 5w + (-18w + w2)) = 0 Combine like terms: 5w + -18w = -13w (-90 + -13w + w2) = 0 Solving -90 + -13w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + -1w)(18 + -1w) = 0Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve: Simplifying -5 + -1w = 0 Solving -5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = 0 + 5 -1w = 0 + 5 Combine like terms: 0 + 5 = 5 -1w = 5 Divide each side by '-1'. w = -5 Simplifying w = -5Subproblem 2
Set the factor '(18 + -1w)' equal to zero and attempt to solve: Simplifying 18 + -1w = 0 Solving 18 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1w = 0 + -18 -1w = 0 + -18 Combine like terms: 0 + -18 = -18 -1w = -18 Divide each side by '-1'. w = 18 Simplifying w = 18Solution
w = {-5, 18}
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