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Simplifying 3w2 + w + -252 = 0 Reorder the terms: -252 + w + 3w2 = 0 Solving -252 + w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-28 + -3w)(9 + -1w) = 0Subproblem 1
Set the factor '(-28 + -3w)' equal to zero and attempt to solve: Simplifying -28 + -3w = 0 Solving -28 + -3w = 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 + -3w = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -3w = 0 + 28 -3w = 0 + 28 Combine like terms: 0 + 28 = 28 -3w = 28 Divide each side by '-3'. w = -9.333333333 Simplifying w = -9.333333333Subproblem 2
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Solution
w = {-9.333333333, 9}
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