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Simplifying 8w(w + -8) = 0 Reorder the terms: 8w(-8 + w) = 0 (-8 * 8w + w * 8w) = 0 (-64w + 8w2) = 0 Solving -64w + 8w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '8w'. 8w(-8 + w) = 0 Ignore the factor 8.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 '(-8 + w)' equal to zero and attempt to solve: Simplifying -8 + w = 0 Solving -8 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + w = 0 + 8 w = 0 + 8 Combine like terms: 0 + 8 = 8 w = 8 Simplifying w = 8Solution
w = {0, 8}
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