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Simplifying (8 + w)(w) = 560 Reorder the terms for easier multiplication: w(8 + w) = 560 (8 * w + w * w) = 560 (8w + w2) = 560 Solving 8w + w2 = 560 Solving for variable 'w'. Reorder the terms: -560 + 8w + w2 = 560 + -560 Combine like terms: 560 + -560 = 0 -560 + 8w + w2 = 0 Factor a trinomial. (-28 + -1w)(20 + -1w) = 0Subproblem 1
Set the factor '(-28 + -1w)' equal to zero and attempt to solve: Simplifying -28 + -1w = 0 Solving -28 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1w = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1w = 0 + 28 -1w = 0 + 28 Combine like terms: 0 + 28 = 28 -1w = 28 Divide each side by '-1'. w = -28 Simplifying w = -28Subproblem 2
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 = 20Solution
w = {-28, 20}
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