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Simplifying 4w2 = -17w + -4 Reorder the terms: 4w2 = -4 + -17w Solving 4w2 = -4 + -17w Solving for variable 'w'. Reorder the terms: 4 + 17w + 4w2 = -4 + -17w + 4 + 17w Reorder the terms: 4 + 17w + 4w2 = -4 + 4 + -17w + 17w Combine like terms: -4 + 4 = 0 4 + 17w + 4w2 = 0 + -17w + 17w 4 + 17w + 4w2 = -17w + 17w Combine like terms: -17w + 17w = 0 4 + 17w + 4w2 = 0 Factor a trinomial. (4 + w)(1 + 4w) = 0Subproblem 1
Set the factor '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Subproblem 2
Set the factor '(1 + 4w)' equal to zero and attempt to solve: Simplifying 1 + 4w = 0 Solving 1 + 4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4w = 0 + -1 4w = 0 + -1 Combine like terms: 0 + -1 = -1 4w = -1 Divide each side by '4'. w = -0.25 Simplifying w = -0.25Solution
w = {-4, -0.25}
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