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Simplifying 24s2 + 22s + -10 = 0 Reorder the terms: -10 + 22s + 24s2 = 0 Solving -10 + 22s + 24s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 11s + 12s2) = 0 Factor a trinomial. 2((-5 + -4s)(1 + -3s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -4s)' equal to zero and attempt to solve: Simplifying -5 + -4s = 0 Solving -5 + -4s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4s = 0 + 5 -4s = 0 + 5 Combine like terms: 0 + 5 = 5 -4s = 5 Divide each side by '-4'. s = -1.25 Simplifying s = -1.25Subproblem 2
Set the factor '(1 + -3s)' equal to zero and attempt to solve: Simplifying 1 + -3s = 0 Solving 1 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3s = 0 + -1 -3s = 0 + -1 Combine like terms: 0 + -1 = -1 -3s = -1 Divide each side by '-3'. s = 0.3333333333 Simplifying s = 0.3333333333Solution
s = {-1.25, 0.3333333333}
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