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