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Simplifying w2 + -100w + 1600 = 0 Reorder the terms: 1600 + -100w + w2 = 0 Solving 1600 + -100w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (20 + -1w)(80 + -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 '(80 + -1w)' equal to zero and attempt to solve: Simplifying 80 + -1w = 0 Solving 80 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1w = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1w = 0 + -80 -1w = 0 + -80 Combine like terms: 0 + -80 = -80 -1w = -80 Divide each side by '-1'. w = 80 Simplifying w = 80Solution
w = {20, 80}
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