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Simplifying w2 + -40w = 6000 Reorder the terms: -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. (-60 + -1w)(100 + -1w) = 0Subproblem 1
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 = -60Subproblem 2
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 = 100Solution
w = {-60, 100}
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