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Simplifying 0 = 840w + -18w2 Solving 0 = 840w + -18w2 Solving for variable 'w'. Remove the zero: -840w + 18w2 = 840w + -18w2 + -840w + 18w2 Reorder the terms: -840w + 18w2 = 840w + -840w + -18w2 + 18w2 Combine like terms: 840w + -840w = 0 -840w + 18w2 = 0 + -18w2 + 18w2 -840w + 18w2 = -18w2 + 18w2 Combine like terms: -18w2 + 18w2 = 0 -840w + 18w2 = 0 Factor out the Greatest Common Factor (GCF), '6w'. 6w(-140 + 3w) = 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 '(-140 + 3w)' equal to zero and attempt to solve: Simplifying -140 + 3w = 0 Solving -140 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '140' to each side of the equation. -140 + 140 + 3w = 0 + 140 Combine like terms: -140 + 140 = 0 0 + 3w = 0 + 140 3w = 0 + 140 Combine like terms: 0 + 140 = 140 3w = 140 Divide each side by '3'. w = 46.66666667 Simplifying w = 46.66666667Solution
w = {0, 46.66666667}
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