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Simplifying w(w + 8) = 825 Reorder the terms: w(8 + w) = 825 (8 * w + w * w) = 825 (8w + w2) = 825 Solving 8w + w2 = 825 Solving for variable 'w'. Reorder the terms: -825 + 8w + w2 = 825 + -825 Combine like terms: 825 + -825 = 0 -825 + 8w + w2 = 0 Factor a trinomial. (-33 + -1w)(25 + -1w) = 0Subproblem 1
Set the factor '(-33 + -1w)' equal to zero and attempt to solve: Simplifying -33 + -1w = 0 Solving -33 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -1w = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -1w = 0 + 33 -1w = 0 + 33 Combine like terms: 0 + 33 = 33 -1w = 33 Divide each side by '-1'. w = -33 Simplifying w = -33Subproblem 2
Set the factor '(25 + -1w)' equal to zero and attempt to solve: Simplifying 25 + -1w = 0 Solving 25 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1w = 0 + -25 -1w = 0 + -25 Combine like terms: 0 + -25 = -25 -1w = -25 Divide each side by '-1'. w = 25 Simplifying w = 25Solution
w = {-33, 25}
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