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Simplifying 0 = 3w2 + -2w Reorder the terms: 0 = -2w + 3w2 Solving 0 = -2w + 3w2 Solving for variable 'w'. Remove the zero: 2w + -3w2 = -2w + 3w2 + 2w + -3w2 Reorder the terms: 2w + -3w2 = -2w + 2w + 3w2 + -3w2 Combine like terms: -2w + 2w = 0 2w + -3w2 = 0 + 3w2 + -3w2 2w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 2w + -3w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(2 + -3w) = 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 '(2 + -3w)' equal to zero and attempt to solve: Simplifying 2 + -3w = 0 Solving 2 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 0 + -2 -3w = 0 + -2 Combine like terms: 0 + -2 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667Solution
w = {0, 0.6666666667}
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