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Simplifying (w + 3) * w = 270 Reorder the terms: (3 + w) * w = 270 Reorder the terms for easier multiplication: w(3 + w) = 270 (3 * w + w * w) = 270 (3w + w2) = 270 Solving 3w + w2 = 270 Solving for variable 'w'. Reorder the terms: -270 + 3w + w2 = 270 + -270 Combine like terms: 270 + -270 = 0 -270 + 3w + w2 = 0 Factor a trinomial. (-18 + -1w)(15 + -1w) = 0Subproblem 1
Set the factor '(-18 + -1w)' equal to zero and attempt to solve: Simplifying -18 + -1w = 0 Solving -18 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1w = 0 + 18 -1w = 0 + 18 Combine like terms: 0 + 18 = 18 -1w = 18 Divide each side by '-1'. w = -18 Simplifying w = -18Subproblem 2
Set the factor '(15 + -1w)' equal to zero and attempt to solve: Simplifying 15 + -1w = 0 Solving 15 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = 0 + -15 -1w = 0 + -15 Combine like terms: 0 + -15 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15Solution
w = {-18, 15}
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