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Simplifying -1w = 5w2 + -4 Reorder the terms: -1w = -4 + 5w2 Solving -1w = -4 + 5w2 Solving for variable 'w'. Reorder the terms: 4 + -1w + -5w2 = -4 + 5w2 + 4 + -5w2 Reorder the terms: 4 + -1w + -5w2 = -4 + 4 + 5w2 + -5w2 Combine like terms: -4 + 4 = 0 4 + -1w + -5w2 = 0 + 5w2 + -5w2 4 + -1w + -5w2 = 5w2 + -5w2 Combine like terms: 5w2 + -5w2 = 0 4 + -1w + -5w2 = 0 Factor a trinomial. (4 + -5w)(1 + w) = 0Subproblem 1
Set the factor '(4 + -5w)' equal to zero and attempt to solve: Simplifying 4 + -5w = 0 Solving 4 + -5w = 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 + -5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5w = 0 + -4 -5w = 0 + -4 Combine like terms: 0 + -4 = -4 -5w = -4 Divide each side by '-5'. w = 0.8 Simplifying w = 0.8Subproblem 2
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 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 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Solution
w = {0.8, -1}
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