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Simplifying 40w + w2 = 6000 Solving 40w + w2 = 6000 Solving for variable 'w'. Reorder the terms: -6000 + 40w + w2 = 6000 + -6000 Combine like terms: 6000 + -6000 = 0 -6000 + 40w + w2 = 0 Factor a trinomial. (-100 + -1w)(60 + -1w) = 0Subproblem 1
Set the factor '(-100 + -1w)' equal to zero and attempt to solve: Simplifying -100 + -1w = 0 Solving -100 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + -1w = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -1w = 0 + 100 -1w = 0 + 100 Combine like terms: 0 + 100 = 100 -1w = 100 Divide each side by '-1'. w = -100 Simplifying w = -100Subproblem 2
Set the factor '(60 + -1w)' equal to zero and attempt to solve: Simplifying 60 + -1w = 0 Solving 60 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1w = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1w = 0 + -60 -1w = 0 + -60 Combine like terms: 0 + -60 = -60 -1w = -60 Divide each side by '-1'. w = 60 Simplifying w = 60Solution
w = {-100, 60}
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