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Simplifying w(w + 18) = 40 Reorder the terms: w(18 + w) = 40 (18 * w + w * w) = 40 (18w + w2) = 40 Solving 18w + w2 = 40 Solving for variable 'w'. Reorder the terms: -40 + 18w + w2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 18w + w2 = 0 Factor a trinomial. (-20 + -1w)(2 + -1w) = 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 '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {-20, 2}
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