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Simplifying 3w2 + -108w + 672 = 0 Reorder the terms: 672 + -108w + 3w2 = 0 Solving 672 + -108w + 3w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3'. 3(224 + -36w + w2) = 0 Factor a trinomial. 3((8 + -1w)(28 + -1w)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Subproblem 2
Set the factor '(28 + -1w)' equal to zero and attempt to solve: Simplifying 28 + -1w = 0 Solving 28 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1w = 0 + -28 -1w = 0 + -28 Combine like terms: 0 + -28 = -28 -1w = -28 Divide each side by '-1'. w = 28 Simplifying w = 28Solution
w = {8, 28}
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