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Simplifying 8w2 + -13w = 0 Reorder the terms: -13w + 8w2 = 0 Solving -13w + 8w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-13 + 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 '(-13 + 8w)' equal to zero and attempt to solve: Simplifying -13 + 8w = 0 Solving -13 + 8w = 0 Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8w = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 8w = 0 + 13 8w = 0 + 13 Combine like terms: 0 + 13 = 13 8w = 13 Divide each side by '8'. w = 1.625 Simplifying w = 1.625Solution
w = {0, 1.625}
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