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Simplifying 10w2 + 9w + 2 = 0 Reorder the terms: 2 + 9w + 10w2 = 0 Solving 2 + 9w + 10w2 = 0 Solving for variable 'w'. Factor a trinomial. (1 + 2w)(2 + 5w) = 0Subproblem 1
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 = -0.5Subproblem 2
Set the factor '(2 + 5w)' equal to zero and attempt to solve: Simplifying 2 + 5w = 0 Solving 2 + 5w = 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 + 5w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5w = 0 + -2 5w = 0 + -2 Combine like terms: 0 + -2 = -2 5w = -2 Divide each side by '5'. w = -0.4 Simplifying w = -0.4Solution
w = {-0.5, -0.4}
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