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Simplifying w2 + -482w + 43681 = 0 Reorder the terms: 43681 + -482w + w2 = 0 Solving 43681 + -482w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (121 + -1w)(361 + -1w) = 0Subproblem 1
Set the factor '(121 + -1w)' equal to zero and attempt to solve: Simplifying 121 + -1w = 0 Solving 121 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-121' to each side of the equation. 121 + -121 + -1w = 0 + -121 Combine like terms: 121 + -121 = 0 0 + -1w = 0 + -121 -1w = 0 + -121 Combine like terms: 0 + -121 = -121 -1w = -121 Divide each side by '-1'. w = 121 Simplifying w = 121Subproblem 2
Set the factor '(361 + -1w)' equal to zero and attempt to solve: Simplifying 361 + -1w = 0 Solving 361 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-361' to each side of the equation. 361 + -361 + -1w = 0 + -361 Combine like terms: 361 + -361 = 0 0 + -1w = 0 + -361 -1w = 0 + -361 Combine like terms: 0 + -361 = -361 -1w = -361 Divide each side by '-1'. w = 361 Simplifying w = 361Solution
w = {121, 361}
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