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Simplifying 12s2 + 29s + 15 = 0 Reorder the terms: 15 + 29s + 12s2 = 0 Solving 15 + 29s + 12s2 = 0 Solving for variable 's'. Factor a trinomial. (5 + 3s)(3 + 4s) = 0Subproblem 1
Set the factor '(5 + 3s)' equal to zero and attempt to solve: Simplifying 5 + 3s = 0 Solving 5 + 3s = 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 + 3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3s = 0 + -5 3s = 0 + -5 Combine like terms: 0 + -5 = -5 3s = -5 Divide each side by '3'. s = -1.666666667 Simplifying s = -1.666666667Subproblem 2
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 = -0.75Solution
s = {-1.666666667, -0.75}
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