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Simplifying 2w2 = -7w + -3 Reorder the terms: 2w2 = -3 + -7w Solving 2w2 = -3 + -7w Solving for variable 'w'. Reorder the terms: 3 + 7w + 2w2 = -3 + -7w + 3 + 7w Reorder the terms: 3 + 7w + 2w2 = -3 + 3 + -7w + 7w Combine like terms: -3 + 3 = 0 3 + 7w + 2w2 = 0 + -7w + 7w 3 + 7w + 2w2 = -7w + 7w Combine like terms: -7w + 7w = 0 3 + 7w + 2w2 = 0 Factor a trinomial. (3 + w)(1 + 2w) = 0Subproblem 1
Set the factor '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3Subproblem 2
Set the factor '(1 + 2w)' equal to zero and attempt to solve: Simplifying 1 + 2w = 0 Solving 1 + 2w = 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 + 2w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 0 + -1 2w = 0 + -1 Combine like terms: 0 + -1 = -1 2w = -1 Divide each side by '2'. w = -0.5 Simplifying w = -0.5Solution
w = {-3, -0.5}
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