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Simplifying w2 + 5w = 500 Reorder the terms: 5w + w2 = 500 Solving 5w + w2 = 500 Solving for variable 'w'. Reorder the terms: -500 + 5w + w2 = 500 + -500 Combine like terms: 500 + -500 = 0 -500 + 5w + w2 = 0 Factor a trinomial. (-25 + -1w)(20 + -1w) = 0Subproblem 1
Set the factor '(-25 + -1w)' equal to zero and attempt to solve: Simplifying -25 + -1w = 0 Solving -25 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1w = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1w = 0 + 25 -1w = 0 + 25 Combine like terms: 0 + 25 = 25 -1w = 25 Divide each side by '-1'. w = -25 Simplifying w = -25Subproblem 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 = {-25, 20}
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