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Simplifying (w2) + -1w = 36 + 4w w2 + -1w = 36 + 4w Reorder the terms: -1w + w2 = 36 + 4w Solving -1w + w2 = 36 + 4w Solving for variable 'w'. Reorder the terms: -36 + -1w + -4w + w2 = 36 + 4w + -36 + -4w Combine like terms: -1w + -4w = -5w -36 + -5w + w2 = 36 + 4w + -36 + -4w Reorder the terms: -36 + -5w + w2 = 36 + -36 + 4w + -4w Combine like terms: 36 + -36 = 0 -36 + -5w + w2 = 0 + 4w + -4w -36 + -5w + w2 = 4w + -4w Combine like terms: 4w + -4w = 0 -36 + -5w + w2 = 0 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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