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Simplifying 3w2 = 5w + 2 Reorder the terms: 3w2 = 2 + 5w Solving 3w2 = 2 + 5w Solving for variable 'w'. Reorder the terms: -2 + -5w + 3w2 = 2 + 5w + -2 + -5w Reorder the terms: -2 + -5w + 3w2 = 2 + -2 + 5w + -5w Combine like terms: 2 + -2 = 0 -2 + -5w + 3w2 = 0 + 5w + -5w -2 + -5w + 3w2 = 5w + -5w Combine like terms: 5w + -5w = 0 -2 + -5w + 3w2 = 0 Factor a trinomial. (-1 + -3w)(2 + -1w) = 0Subproblem 1
Set the factor '(-1 + -3w)' equal to zero and attempt to solve: Simplifying -1 + -3w = 0 Solving -1 + -3w = 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 + -3w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3w = 0 + 1 -3w = 0 + 1 Combine like terms: 0 + 1 = 1 -3w = 1 Divide each side by '-3'. w = -0.3333333333 Simplifying w = -0.3333333333Subproblem 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 = {-0.3333333333, 2}
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