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Simplifying 216 = w(w + -6) Reorder the terms: 216 = w(-6 + w) 216 = (-6 * w + w * w) 216 = (-6w + w2) Solving 216 = -6w + w2 Solving for variable 'w'. Reorder the terms: 216 + 6w + -1w2 = -6w + 6w + w2 + -1w2 Combine like terms: -6w + 6w = 0 216 + 6w + -1w2 = 0 + w2 + -1w2 216 + 6w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 216 + 6w + -1w2 = 0 Factor a trinomial. (18 + -1w)(12 + w) = 0Subproblem 1
Set the factor '(18 + -1w)' equal to zero and attempt to solve: Simplifying 18 + -1w = 0 Solving 18 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1w = 0 + -18 -1w = 0 + -18 Combine like terms: 0 + -18 = -18 -1w = -18 Divide each side by '-1'. w = 18 Simplifying w = 18Subproblem 2
Set the factor '(12 + w)' equal to zero and attempt to solve: Simplifying 12 + w = 0 Solving 12 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + w = 0 + -12 w = 0 + -12 Combine like terms: 0 + -12 = -12 w = -12 Simplifying w = -12Solution
w = {18, -12}
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