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Simplifying 6w + 8w2 + -1w = 0 Reorder the terms: 6w + -1w + 8w2 = 0 Combine like terms: 6w + -1w = 5w 5w + 8w2 = 0 Solving 5w + 8w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(5 + 8w) = 0Subproblem 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 '(5 + 8w)' equal to zero and attempt to solve: Simplifying 5 + 8w = 0 Solving 5 + 8w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8w = 0 + -5 8w = 0 + -5 Combine like terms: 0 + -5 = -5 8w = -5 Divide each side by '8'. w = -0.625 Simplifying w = -0.625Solution
w = {0, -0.625}
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