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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. (-11 + -1w)(17 + -1w) = 0Subproblem 1
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 = -11Subproblem 2
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 = 17Solution
w = {-11, 17}
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