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Simplifying 44s2 + 29s + -3 = 0 Reorder the terms: -3 + 29s + 44s2 = 0 Solving -3 + 29s + 44s2 = 0 Solving for variable 's'. Factor a trinomial. (-3 + -4s)(1 + -11s) = 0Subproblem 1
Set the factor '(-3 + -4s)' equal to zero and attempt to solve: Simplifying -3 + -4s = 0 Solving -3 + -4s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4s = 0 + 3 -4s = 0 + 3 Combine like terms: 0 + 3 = 3 -4s = 3 Divide each side by '-4'. s = -0.75 Simplifying s = -0.75Subproblem 2
Set the factor '(1 + -11s)' equal to zero and attempt to solve: Simplifying 1 + -11s = 0 Solving 1 + -11s = 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 + -11s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11s = 0 + -1 -11s = 0 + -1 Combine like terms: 0 + -1 = -1 -11s = -1 Divide each side by '-11'. s = 0.09090909091 Simplifying s = 0.09090909091Solution
s = {-0.75, 0.09090909091}
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