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Simplifying w2 + 6w + -187 = 0 Reorder the terms: -187 + 6w + w2 = 0 Solving -187 + 6w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-17 + -1w)(11 + -1w) = 0Subproblem 1
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 = -17Subproblem 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 = {-17, 11}
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