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Simplifying w2 = 4w + -4 Reorder the terms: w2 = -4 + 4w Solving w2 = -4 + 4w Solving for variable 'w'. Reorder the terms: 4 + -4w + w2 = -4 + 4w + 4 + -4w Reorder the terms: 4 + -4w + w2 = -4 + 4 + 4w + -4w Combine like terms: -4 + 4 = 0 4 + -4w + w2 = 0 + 4w + -4w 4 + -4w + w2 = 4w + -4w Combine like terms: 4w + -4w = 0 4 + -4w + w2 = 0 Factor a trinomial. (2 + -1w)(2 + -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 '(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 = 2Solution
w = {2, 2}
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