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Simplifying 2w(-6w + -1) = 0 Reorder the terms: 2w(-1 + -6w) = 0 (-1 * 2w + -6w * 2w) = 0 (-2w + -12w2) = 0 Solving -2w + -12w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-2w'. -2w(1 + 6w) = 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 + 6w)' equal to zero and attempt to solve: Simplifying 1 + 6w = 0 Solving 1 + 6w = 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 + 6w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6w = 0 + -1 6w = 0 + -1 Combine like terms: 0 + -1 = -1 6w = -1 Divide each side by '6'. w = -0.1666666667 Simplifying w = -0.1666666667Solution
w = {0, -0.1666666667}
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