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Simplifying w2 + 11w = 2040 Reorder the terms: 11w + w2 = 2040 Solving 11w + w2 = 2040 Solving for variable 'w'. Reorder the terms: -2040 + 11w + w2 = 2040 + -2040 Combine like terms: 2040 + -2040 = 0 -2040 + 11w + w2 = 0 Factor a trinomial. (-51 + -1w)(40 + -1w) = 0Subproblem 1
Set the factor '(-51 + -1w)' equal to zero and attempt to solve: Simplifying -51 + -1w = 0 Solving -51 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -1w = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -1w = 0 + 51 -1w = 0 + 51 Combine like terms: 0 + 51 = 51 -1w = 51 Divide each side by '-1'. w = -51 Simplifying w = -51Subproblem 2
Set the factor '(40 + -1w)' equal to zero and attempt to solve: Simplifying 40 + -1w = 0 Solving 40 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1w = 0 + -40 -1w = 0 + -40 Combine like terms: 0 + -40 = -40 -1w = -40 Divide each side by '-1'. w = 40 Simplifying w = 40Solution
w = {-51, 40}
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