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Simplifying 24w2 + -58w + -22 = 0 Reorder the terms: -22 + -58w + 24w2 = 0 Solving -22 + -58w + 24w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(-11 + -29w + 12w2) = 0 Factor a trinomial. 2((-1 + -3w)(11 + -4w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -3w)' equal to zero and attempt to solve: Simplifying -1 + -3w = 0 Solving -1 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3w = 0 + 1 -3w = 0 + 1 Combine like terms: 0 + 1 = 1 -3w = 1 Divide each side by '-3'. w = -0.3333333333 Simplifying w = -0.3333333333Subproblem 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 = {-0.3333333333, 2.75}
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