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Simplifying 450 = w2 + 15w Reorder the terms: 450 = 15w + w2 Solving 450 = 15w + w2 Solving for variable 'w'. Reorder the terms: 450 + -15w + -1w2 = 15w + -15w + w2 + -1w2 Combine like terms: 15w + -15w = 0 450 + -15w + -1w2 = 0 + w2 + -1w2 450 + -15w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 450 + -15w + -1w2 = 0 Factor a trinomial. (15 + -1w)(30 + w) = 0Subproblem 1
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 = 15Subproblem 2
Set the factor '(30 + w)' equal to zero and attempt to solve: Simplifying 30 + w = 0 Solving 30 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + w = 0 + -30 w = 0 + -30 Combine like terms: 0 + -30 = -30 w = -30 Simplifying w = -30Solution
w = {15, -30}
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