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Simplifying 2w2 + 5w + -663 = 0 Reorder the terms: -663 + 5w + 2w2 = 0 Solving -663 + 5w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-39 + -2w)(17 + -1w) = 0Subproblem 1
Set the factor '(-39 + -2w)' equal to zero and attempt to solve: Simplifying -39 + -2w = 0 Solving -39 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -2w = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -2w = 0 + 39 -2w = 0 + 39 Combine like terms: 0 + 39 = 39 -2w = 39 Divide each side by '-2'. w = -19.5 Simplifying w = -19.5Subproblem 2
Set the factor '(17 + -1w)' equal to zero and attempt to solve: Simplifying 17 + -1w = 0 Solving 17 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1w = 0 + -17 -1w = 0 + -17 Combine like terms: 0 + -17 = -17 -1w = -17 Divide each side by '-1'. w = 17 Simplifying w = 17Solution
w = {-19.5, 17}
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