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Simplifying 273 = 2w2 + -5w Reorder the terms: 273 = -5w + 2w2 Solving 273 = -5w + 2w2 Solving for variable 'w'. Reorder the terms: 273 + 5w + -2w2 = -5w + 5w + 2w2 + -2w2 Combine like terms: -5w + 5w = 0 273 + 5w + -2w2 = 0 + 2w2 + -2w2 273 + 5w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 273 + 5w + -2w2 = 0 Factor a trinomial. (13 + -1w)(21 + 2w) = 0Subproblem 1
Set the factor '(13 + -1w)' equal to zero and attempt to solve: Simplifying 13 + -1w = 0 Solving 13 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1w = 0 + -13 -1w = 0 + -13 Combine like terms: 0 + -13 = -13 -1w = -13 Divide each side by '-1'. w = 13 Simplifying w = 13Subproblem 2
Set the factor '(21 + 2w)' equal to zero and attempt to solve: Simplifying 21 + 2w = 0 Solving 21 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2w = 0 + -21 2w = 0 + -21 Combine like terms: 0 + -21 = -21 2w = -21 Divide each side by '2'. w = -10.5 Simplifying w = -10.5Solution
w = {13, -10.5}
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