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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. (-11 + -4w)(2 + -1w) = 0Subproblem 1
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 = -2.75Subproblem 2
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 = 2Solution
w = {-2.75, 2}
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