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Simplifying 100w2 + 20w + 1 = 0 Reorder the terms: 1 + 20w + 100w2 = 0 Solving 1 + 20w + 100w2 = 0 Solving for variable 'w'. Factor a trinomial. (1 + 10w)(1 + 10w) = 0Subproblem 1
Set the factor '(1 + 10w)' equal to zero and attempt to solve: Simplifying 1 + 10w = 0 Solving 1 + 10w = 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 + 10w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10w = 0 + -1 10w = 0 + -1 Combine like terms: 0 + -1 = -1 10w = -1 Divide each side by '10'. w = -0.1 Simplifying w = -0.1Subproblem 2
Set the factor '(1 + 10w)' equal to zero and attempt to solve: Simplifying 1 + 10w = 0 Solving 1 + 10w = 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 + 10w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10w = 0 + -1 10w = 0 + -1 Combine like terms: 0 + -1 = -1 10w = -1 Divide each side by '10'. w = -0.1 Simplifying w = -0.1Solution
w = {-0.1, -0.1}
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