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Simplifying 2w(3w(2) + -5) = 0 Reorder the terms for easier multiplication: 2w(3 * 2w + -5) = 0 Multiply 3 * 2 2w(6w + -5) = 0 Reorder the terms: 2w(-5 + 6w) = 0 (-5 * 2w + 6w * 2w) = 0 (-10w + 12w2) = 0 Solving -10w + 12w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(-5 + 6w) = 0 Ignore the factor 2.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 '(-5 + 6w)' equal to zero and attempt to solve: Simplifying -5 + 6w = 0 Solving -5 + 6w = 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 + 6w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6w = 0 + 5 6w = 0 + 5 Combine like terms: 0 + 5 = 5 6w = 5 Divide each side by '6'. w = 0.8333333333 Simplifying w = 0.8333333333Solution
w = {0, 0.8333333333}
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