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Simplifying (w + 20)(w + -24) = 0 Reorder the terms: (20 + w)(w + -24) = 0 Reorder the terms: (20 + w)(-24 + w) = 0 Multiply (20 + w) * (-24 + w) (20(-24 + w) + w(-24 + w)) = 0 ((-24 * 20 + w * 20) + w(-24 + w)) = 0 ((-480 + 20w) + w(-24 + w)) = 0 (-480 + 20w + (-24 * w + w * w)) = 0 (-480 + 20w + (-24w + w2)) = 0 Combine like terms: 20w + -24w = -4w (-480 + -4w + w2) = 0 Solving -480 + -4w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-20 + -1w)(24 + -1w) = 0Subproblem 1
Set the factor '(-20 + -1w)' equal to zero and attempt to solve: Simplifying -20 + -1w = 0 Solving -20 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1w = 0 + 20 -1w = 0 + 20 Combine like terms: 0 + 20 = 20 -1w = 20 Divide each side by '-1'. w = -20 Simplifying w = -20Subproblem 2
Set the factor '(24 + -1w)' equal to zero and attempt to solve: Simplifying 24 + -1w = 0 Solving 24 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1w = 0 + -24 -1w = 0 + -24 Combine like terms: 0 + -24 = -24 -1w = -24 Divide each side by '-1'. w = 24 Simplifying w = 24Solution
w = {-20, 24}
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