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Simplifying 0 = w2 + 6w + -160 Reorder the terms: 0 = -160 + 6w + w2 Solving 0 = -160 + 6w + w2 Solving for variable 'w'. Combine like terms: 0 + 160 = 160 160 + -6w + -1w2 = -160 + 6w + w2 + 160 + -6w + -1w2 Reorder the terms: 160 + -6w + -1w2 = -160 + 160 + 6w + -6w + w2 + -1w2 Combine like terms: -160 + 160 = 0 160 + -6w + -1w2 = 0 + 6w + -6w + w2 + -1w2 160 + -6w + -1w2 = 6w + -6w + w2 + -1w2 Combine like terms: 6w + -6w = 0 160 + -6w + -1w2 = 0 + w2 + -1w2 160 + -6w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 160 + -6w + -1w2 = 0 Factor a trinomial. (10 + -1w)(16 + 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 '(16 + w)' equal to zero and attempt to solve: Simplifying 16 + w = 0 Solving 16 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + w = 0 + -16 w = 0 + -16 Combine like terms: 0 + -16 = -16 w = -16 Simplifying w = -16Solution
w = {10, -16}
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