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Simplifying 2w(3w + -7) = 0 Reorder the terms: 2w(-7 + 3w) = 0 (-7 * 2w + 3w * 2w) = 0 (-14w + 6w2) = 0 Solving -14w + 6w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(-7 + 3w) = 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 '(-7 + 3w)' equal to zero and attempt to solve: Simplifying -7 + 3w = 0 Solving -7 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = 0 + 7 3w = 0 + 7 Combine like terms: 0 + 7 = 7 3w = 7 Divide each side by '3'. w = 2.333333333 Simplifying w = 2.333333333Solution
w = {0, 2.333333333}
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