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Simplifying w2 + 3w + -648 = 0 Reorder the terms: -648 + 3w + w2 = 0 Solving -648 + 3w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-27 + -1w)(24 + -1w) = 0Subproblem 1
Set the factor '(-27 + -1w)' equal to zero and attempt to solve: Simplifying -27 + -1w = 0 Solving -27 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1w = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1w = 0 + 27 -1w = 0 + 27 Combine like terms: 0 + 27 = 27 -1w = 27 Divide each side by '-1'. w = -27 Simplifying w = -27Subproblem 2
Set the factor '(24 + -1w)' equal to zero and attempt to solve: Simplifying 24 + -1w = 0 Solving 24 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1w = 0 + -24 -1w = 0 + -24 Combine like terms: 0 + -24 = -24 -1w = -24 Divide each side by '-1'. w = 24 Simplifying w = 24Solution
w = {-27, 24}
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