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