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Simplifying 4s2 + 11s + 8 = 3s + 4 Reorder the terms: 8 + 11s + 4s2 = 3s + 4 Reorder the terms: 8 + 11s + 4s2 = 4 + 3s Solving 8 + 11s + 4s2 = 4 + 3s Solving for variable 's'. Reorder the terms: 8 + -4 + 11s + -3s + 4s2 = 4 + 3s + -4 + -3s Combine like terms: 8 + -4 = 4 4 + 11s + -3s + 4s2 = 4 + 3s + -4 + -3s Combine like terms: 11s + -3s = 8s 4 + 8s + 4s2 = 4 + 3s + -4 + -3s Reorder the terms: 4 + 8s + 4s2 = 4 + -4 + 3s + -3s Combine like terms: 4 + -4 = 0 4 + 8s + 4s2 = 0 + 3s + -3s 4 + 8s + 4s2 = 3s + -3s Combine like terms: 3s + -3s = 0 4 + 8s + 4s2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + 2s + s2) = 0 Factor a trinomial. 4((1 + s)(1 + s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 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 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Simplifying s = -1Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 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 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Simplifying s = -1Solution
s = {-1, -1}
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