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Simplifying 4w2 + -3w + -22 = 0 Reorder the terms: -22 + -3w + 4w2 = 0 Solving -22 + -3w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (-2 + -1w)(11 + -4w) = 0Subproblem 1
Set the factor '(-2 + -1w)' equal to zero and attempt to solve: Simplifying -2 + -1w = 0 Solving -2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = 0 + 2 -1w = 0 + 2 Combine like terms: 0 + 2 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2Subproblem 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 = {-2, 2.75}
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