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Simplifying 260 = w(w + 16) Reorder the terms: 260 = w(16 + w) 260 = (16 * w + w * w) 260 = (16w + w2) Solving 260 = 16w + w2 Solving for variable 'w'. Reorder the terms: 260 + -16w + -1w2 = 16w + -16w + w2 + -1w2 Combine like terms: 16w + -16w = 0 260 + -16w + -1w2 = 0 + w2 + -1w2 260 + -16w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 260 + -16w + -1w2 = 0 Factor a trinomial. (10 + -1w)(26 + w) = 0Subproblem 1
Set the factor '(10 + -1w)' equal to zero and attempt to solve: Simplifying 10 + -1w = 0 Solving 10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = 0 + -10 -1w = 0 + -10 Combine like terms: 0 + -10 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10Subproblem 2
Set the factor '(26 + w)' equal to zero and attempt to solve: Simplifying 26 + w = 0 Solving 26 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + w = 0 + -26 Combine like terms: 26 + -26 = 0 0 + w = 0 + -26 w = 0 + -26 Combine like terms: 0 + -26 = -26 w = -26 Simplifying w = -26Solution
w = {10, -26}
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