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Simplifying 4s2 + 12s = -9 Reorder the terms: 12s + 4s2 = -9 Solving 12s + 4s2 = -9 Solving for variable 's'. Reorder the terms: 9 + 12s + 4s2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 12s + 4s2 = 0 Factor a trinomial. (3 + 2s)(3 + 2s) = 0Subproblem 1
Set the factor '(3 + 2s)' equal to zero and attempt to solve: Simplifying 3 + 2s = 0 Solving 3 + 2s = 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 + 2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2s = 0 + -3 2s = 0 + -3 Combine like terms: 0 + -3 = -3 2s = -3 Divide each side by '2'. s = -1.5 Simplifying s = -1.5Subproblem 2
Set the factor '(3 + 2s)' equal to zero and attempt to solve: Simplifying 3 + 2s = 0 Solving 3 + 2s = 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 + 2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2s = 0 + -3 2s = 0 + -3 Combine like terms: 0 + -3 = -3 2s = -3 Divide each side by '2'. s = -1.5 Simplifying s = -1.5Solution
s = {-1.5, -1.5}
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