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Simplifying 24w2 + 50w + 24 = 0 Reorder the terms: 24 + 50w + 24w2 = 0 Solving 24 + 50w + 24w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 25w + 12w2) = 0 Factor a trinomial. 2((4 + 3w)(3 + 4w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 3w)' equal to zero and attempt to solve: Simplifying 4 + 3w = 0 Solving 4 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3w = 0 + -4 3w = 0 + -4 Combine like terms: 0 + -4 = -4 3w = -4 Divide each side by '3'. w = -1.333333333 Simplifying w = -1.333333333Subproblem 2
Set the factor '(3 + 4w)' equal to zero and attempt to solve: Simplifying 3 + 4w = 0 Solving 3 + 4w = 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 + 4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 0 + -3 4w = 0 + -3 Combine like terms: 0 + -3 = -3 4w = -3 Divide each side by '4'. w = -0.75 Simplifying w = -0.75Solution
w = {-1.333333333, -0.75}
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