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Simplifying (5w + -4)(9 + -1w) = 0 Reorder the terms: (-4 + 5w)(9 + -1w) = 0 Multiply (-4 + 5w) * (9 + -1w) (-4(9 + -1w) + 5w * (9 + -1w)) = 0 ((9 * -4 + -1w * -4) + 5w * (9 + -1w)) = 0 ((-36 + 4w) + 5w * (9 + -1w)) = 0 (-36 + 4w + (9 * 5w + -1w * 5w)) = 0 (-36 + 4w + (45w + -5w2)) = 0 Combine like terms: 4w + 45w = 49w (-36 + 49w + -5w2) = 0 Solving -36 + 49w + -5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + w)(4 + -5w) = 0Subproblem 1
Set the factor '(-9 + w)' equal to zero and attempt to solve: Simplifying -9 + w = 0 Solving -9 + w = 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 + w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + w = 0 + 9 w = 0 + 9 Combine like terms: 0 + 9 = 9 w = 9 Simplifying w = 9Subproblem 2
Set the factor '(4 + -5w)' equal to zero and attempt to solve: Simplifying 4 + -5w = 0 Solving 4 + -5w = 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 + -5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5w = 0 + -4 -5w = 0 + -4 Combine like terms: 0 + -4 = -4 -5w = -4 Divide each side by '-5'. w = 0.8 Simplifying w = 0.8Solution
w = {9, 0.8}
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