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Simplifying (4w + 9)(w + -5) = 0 Reorder the terms: (9 + 4w)(w + -5) = 0 Reorder the terms: (9 + 4w)(-5 + w) = 0 Multiply (9 + 4w) * (-5 + w) (9(-5 + w) + 4w * (-5 + w)) = 0 ((-5 * 9 + w * 9) + 4w * (-5 + w)) = 0 ((-45 + 9w) + 4w * (-5 + w)) = 0 (-45 + 9w + (-5 * 4w + w * 4w)) = 0 (-45 + 9w + (-20w + 4w2)) = 0 Combine like terms: 9w + -20w = -11w (-45 + -11w + 4w2) = 0 Solving -45 + -11w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + -4w)(5 + -1w) = 0Subproblem 1
Set the factor '(-9 + -4w)' equal to zero and attempt to solve: Simplifying -9 + -4w = 0 Solving -9 + -4w = 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 + -4w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4w = 0 + 9 -4w = 0 + 9 Combine like terms: 0 + 9 = 9 -4w = 9 Divide each side by '-4'. w = -2.25 Simplifying w = -2.25Subproblem 2
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 = 5Solution
w = {-2.25, 5}
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