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Simplifying w2 + -39w + 350 = 0 Reorder the terms: 350 + -39w + w2 = 0 Solving 350 + -39w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (14 + -1w)(25 + -1w) = 0Subproblem 1
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 = 14Subproblem 2
Set the factor '(25 + -1w)' equal to zero and attempt to solve: Simplifying 25 + -1w = 0 Solving 25 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1w = 0 + -25 -1w = 0 + -25 Combine like terms: 0 + -25 = -25 -1w = -25 Divide each side by '-1'. w = 25 Simplifying w = 25Solution
w = {14, 25}
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