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Simplifying 2w2 + -5w + -273 = 0 Reorder the terms: -273 + -5w + 2w2 = 0 Solving -273 + -5w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-21 + -2w)(13 + -1w) = 0Subproblem 1
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 = -10.5Subproblem 2
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 = 13Solution
w = {-10.5, 13}
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