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Simplifying 2w2 + w + -300 = 0 Reorder the terms: -300 + w + 2w2 = 0 Solving -300 + w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-25 + -2w)(12 + -1w) = 0Subproblem 1
Set the factor '(-25 + -2w)' equal to zero and attempt to solve: Simplifying -25 + -2w = 0 Solving -25 + -2w = 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 + -2w = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2w = 0 + 25 -2w = 0 + 25 Combine like terms: 0 + 25 = 25 -2w = 25 Divide each side by '-2'. w = -12.5 Simplifying w = -12.5Subproblem 2
Set the factor '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12Solution
w = {-12.5, 12}
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