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Simplifying 600 = w2 + 10w Reorder the terms: 600 = 10w + w2 Solving 600 = 10w + w2 Solving for variable 'w'. Reorder the terms: 600 + -10w + -1w2 = 10w + -10w + w2 + -1w2 Combine like terms: 10w + -10w = 0 600 + -10w + -1w2 = 0 + w2 + -1w2 600 + -10w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 600 + -10w + -1w2 = 0 Factor a trinomial. (20 + -1w)(30 + w) = 0Subproblem 1
Set the factor '(20 + -1w)' equal to zero and attempt to solve: Simplifying 20 + -1w = 0 Solving 20 + -1w = 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 + -1w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1w = 0 + -20 -1w = 0 + -20 Combine like terms: 0 + -20 = -20 -1w = -20 Divide each side by '-1'. w = 20 Simplifying w = 20Subproblem 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 = {20, -30}
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