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Simplifying 252 = w(w + 4) Reorder the terms: 252 = w(4 + w) 252 = (4 * w + w * w) 252 = (4w + w2) Solving 252 = 4w + w2 Solving for variable 'w'. Reorder the terms: 252 + -4w + -1w2 = 4w + -4w + w2 + -1w2 Combine like terms: 4w + -4w = 0 252 + -4w + -1w2 = 0 + w2 + -1w2 252 + -4w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 252 + -4w + -1w2 = 0 Factor a trinomial. (14 + -1w)(18 + w) = 0Subproblem 1
Set the factor '(14 + -1w)' equal to zero and attempt to solve: Simplifying 14 + -1w = 0 Solving 14 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1w = 0 + -14 -1w = 0 + -14 Combine like terms: 0 + -14 = -14 -1w = -14 Divide each side by '-1'. w = 14 Simplifying w = 14Subproblem 2
Set the factor '(18 + w)' equal to zero and attempt to solve: Simplifying 18 + w = 0 Solving 18 + w = 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 + w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + w = 0 + -18 w = 0 + -18 Combine like terms: 0 + -18 = -18 w = -18 Simplifying w = -18Solution
w = {14, -18}
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