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Simplifying w2 + -100w + 1275 = 0 Reorder the terms: 1275 + -100w + w2 = 0 Solving 1275 + -100w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (15 + -1w)(85 + -1w) = 0Subproblem 1
Set the factor '(15 + -1w)' equal to zero and attempt to solve: Simplifying 15 + -1w = 0 Solving 15 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = 0 + -15 -1w = 0 + -15 Combine like terms: 0 + -15 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15Subproblem 2
Set the factor '(85 + -1w)' equal to zero and attempt to solve: Simplifying 85 + -1w = 0 Solving 85 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -1w = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -1w = 0 + -85 -1w = 0 + -85 Combine like terms: 0 + -85 = -85 -1w = -85 Divide each side by '-1'. w = 85 Simplifying w = 85Solution
w = {15, 85}
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