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Simplifying w2 = 2w + 15 Reorder the terms: w2 = 15 + 2w Solving w2 = 15 + 2w Solving for variable 'w'. Reorder the terms: -15 + -2w + w2 = 15 + 2w + -15 + -2w Reorder the terms: -15 + -2w + w2 = 15 + -15 + 2w + -2w Combine like terms: 15 + -15 = 0 -15 + -2w + w2 = 0 + 2w + -2w -15 + -2w + w2 = 2w + -2w Combine like terms: 2w + -2w = 0 -15 + -2w + w2 = 0 Factor a trinomial. (-3 + -1w)(5 + -1w) = 0Subproblem 1
Set the factor '(-3 + -1w)' equal to zero and attempt to solve: Simplifying -3 + -1w = 0 Solving -3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 0 + 3 -1w = 0 + 3 Combine like terms: 0 + 3 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3Subproblem 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 = {-3, 5}
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