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Simplifying 16w2 = -6w Solving 16w2 = -6w Solving for variable 'w'. Reorder the terms: 6w + 16w2 = -6w + 6w Combine like terms: -6w + 6w = 0 6w + 16w2 = 0 Factor out the Greatest Common Factor (GCF), '2w'. 2w(3 + 8w) = 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 '(3 + 8w)' equal to zero and attempt to solve: Simplifying 3 + 8w = 0 Solving 3 + 8w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8w = 0 + -3 8w = 0 + -3 Combine like terms: 0 + -3 = -3 8w = -3 Divide each side by '8'. w = -0.375 Simplifying w = -0.375Solution
w = {0, -0.375}
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