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Simplifying w2 + 6w + -280 = 0 Reorder the terms: -280 + 6w + w2 = 0 Solving -280 + 6w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-20 + -1w)(14 + -1w) = 0Subproblem 1
Set the factor '(-20 + -1w)' equal to zero and attempt to solve: Simplifying -20 + -1w = 0 Solving -20 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1w = 0 + 20 -1w = 0 + 20 Combine like terms: 0 + 20 = 20 -1w = 20 Divide each side by '-1'. w = -20 Simplifying w = -20Subproblem 2
Set the factor '(14 + -1w)' equal to zero and attempt to solve: Simplifying 14 + -1w = 0 Solving 14 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1w = 0 + -14 -1w = 0 + -14 Combine like terms: 0 + -14 = -14 -1w = -14 Divide each side by '-1'. w = 14 Simplifying w = 14Solution
w = {-20, 14}
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