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Simplifying 3w2 + -5w + -308 = 0 Reorder the terms: -308 + -5w + 3w2 = 0 Solving -308 + -5w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-28 + -3w)(11 + -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 '(11 + -1w)' equal to zero and attempt to solve: Simplifying 11 + -1w = 0 Solving 11 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1w = 0 + -11 -1w = 0 + -11 Combine like terms: 0 + -11 = -11 -1w = -11 Divide each side by '-1'. w = 11 Simplifying w = 11Solution
w = {-9.333333333, 11}
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