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Simplifying w2 + 3w + -868 = 0 Reorder the terms: -868 + 3w + w2 = 0 Solving -868 + 3w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-31 + -1w)(28 + -1w) = 0Subproblem 1
Set the factor '(-31 + -1w)' equal to zero and attempt to solve: Simplifying -31 + -1w = 0 Solving -31 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -1w = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -1w = 0 + 31 -1w = 0 + 31 Combine like terms: 0 + 31 = 31 -1w = 31 Divide each side by '-1'. w = -31 Simplifying w = -31Subproblem 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 = {-31, 28}
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