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Simplifying 7w(3w + -2) = 0 Reorder the terms: 7w(-2 + 3w) = 0 (-2 * 7w + 3w * 7w) = 0 (-14w + 21w2) = 0 Solving -14w + 21w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '7w'. 7w(-2 + 3w) = 0 Ignore the factor 7.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 '(-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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