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Simplifying 0 = w2 + 5w + -300 Reorder the terms: 0 = -300 + 5w + w2 Solving 0 = -300 + 5w + w2 Solving for variable 'w'. Combine like terms: 0 + 300 = 300 300 + -5w + -1w2 = -300 + 5w + w2 + 300 + -5w + -1w2 Reorder the terms: 300 + -5w + -1w2 = -300 + 300 + 5w + -5w + w2 + -1w2 Combine like terms: -300 + 300 = 0 300 + -5w + -1w2 = 0 + 5w + -5w + w2 + -1w2 300 + -5w + -1w2 = 5w + -5w + w2 + -1w2 Combine like terms: 5w + -5w = 0 300 + -5w + -1w2 = 0 + w2 + -1w2 300 + -5w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 300 + -5w + -1w2 = 0 Factor a trinomial. (15 + -1w)(20 + 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 '(20 + w)' equal to zero and attempt to solve: Simplifying 20 + w = 0 Solving 20 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + w = 0 + -20 w = 0 + -20 Combine like terms: 0 + -20 = -20 w = -20 Simplifying w = -20Solution
w = {15, -20}
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