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Simplifying 8w2 = 3w Solving 8w2 = 3w Solving for variable 'w'. Reorder the terms: -3w + 8w2 = 3w + -3w Combine like terms: 3w + -3w = 0 -3w + 8w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-3 + 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 '(-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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