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Simplifying 6w(5w + -6) = 0 Reorder the terms: 6w(-6 + 5w) = 0 (-6 * 6w + 5w * 6w) = 0 (-36w + 30w2) = 0 Solving -36w + 30w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '6w'. 6w(-6 + 5w) = 0 Ignore the factor 6.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 '(-6 + 5w)' equal to zero and attempt to solve: Simplifying -6 + 5w = 0 Solving -6 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5w = 0 + 6 5w = 0 + 6 Combine like terms: 0 + 6 = 6 5w = 6 Divide each side by '5'. w = 1.2 Simplifying w = 1.2Solution
w = {0, 1.2}
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