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Simplifying 0 = 420w + -6w2 Solving 0 = 420w + -6w2 Solving for variable 'w'. Remove the zero: -420w + 6w2 = 420w + -6w2 + -420w + 6w2 Reorder the terms: -420w + 6w2 = 420w + -420w + -6w2 + 6w2 Combine like terms: 420w + -420w = 0 -420w + 6w2 = 0 + -6w2 + 6w2 -420w + 6w2 = -6w2 + 6w2 Combine like terms: -6w2 + 6w2 = 0 -420w + 6w2 = 0 Factor out the Greatest Common Factor (GCF), '6w'. 6w(-70 + w) = 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 '(-70 + w)' equal to zero and attempt to solve: Simplifying -70 + w = 0 Solving -70 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + w = 0 + 70 Combine like terms: -70 + 70 = 0 0 + w = 0 + 70 w = 0 + 70 Combine like terms: 0 + 70 = 70 w = 70 Simplifying w = 70Solution
w = {0, 70}
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