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Simplifying w2 + -2w + -8(w + -2) = 0 Reorder the terms: w2 + -2w + -8(-2 + w) = 0 w2 + -2w + (-2 * -8 + w * -8) = 0 w2 + -2w + (16 + -8w) = 0 Reorder the terms: 16 + -2w + -8w + w2 = 0 Combine like terms: -2w + -8w = -10w 16 + -10w + w2 = 0 Solving 16 + -10w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (2 + -1w)(8 + -1w) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Solution
w = {2, 8}
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