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Simplifying 8w2 + -10w + -33 = 0 Reorder the terms: -33 + -10w + 8w2 = 0 Solving -33 + -10w + 8w2 = 0 Solving for variable 'w'. Factor a trinomial. (-3 + -2w)(11 + -4w) = 0Subproblem 1
Set the factor '(-3 + -2w)' equal to zero and attempt to solve: Simplifying -3 + -2w = 0 Solving -3 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = 0 + 3 -2w = 0 + 3 Combine like terms: 0 + 3 = 3 -2w = 3 Divide each side by '-2'. w = -1.5 Simplifying w = -1.5Subproblem 2
Set the factor '(11 + -4w)' equal to zero and attempt to solve: Simplifying 11 + -4w = 0 Solving 11 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4w = 0 + -11 -4w = 0 + -11 Combine like terms: 0 + -11 = -11 -4w = -11 Divide each side by '-4'. w = 2.75 Simplifying w = 2.75Solution
w = {-1.5, 2.75}
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