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Simplifying 2w * 2w + 2w = 0 Reorder the terms for easier multiplication: 2 * 2w * w + 2w = 0 Multiply 2 * 2 4w * w + 2w = 0 Multiply w * w 4w2 + 2w = 0 Reorder the terms: 2w + 4w2 = 0 Solving 2w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(1 + 2w) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 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, -0.5}
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