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Simplifying 60w + w2 = 1600 Solving 60w + w2 = 1600 Solving for variable 'w'. Reorder the terms: -1600 + 60w + w2 = 1600 + -1600 Combine like terms: 1600 + -1600 = 0 -1600 + 60w + w2 = 0 Factor a trinomial. (-80 + -1w)(20 + -1w) = 0Subproblem 1
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 = -80Subproblem 2
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 = 20Solution
w = {-80, 20}
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