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Simplifying 10w2 + -1w + -2 = 0 Reorder the terms: -2 + -1w + 10w2 = 0 Solving -2 + -1w + 10w2 = 0 Solving for variable 'w'. Factor a trinomial. (-2 + -5w)(1 + -2w) = 0Subproblem 1
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 = -0.4Subproblem 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 = {-0.4, 0.5}
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