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Simplifying 12s2 = 40 + 52s Solving 12s2 = 40 + 52s Solving for variable 's'. Reorder the terms: -40 + -52s + 12s2 = 40 + 52s + -40 + -52s Reorder the terms: -40 + -52s + 12s2 = 40 + -40 + 52s + -52s Combine like terms: 40 + -40 = 0 -40 + -52s + 12s2 = 0 + 52s + -52s -40 + -52s + 12s2 = 52s + -52s Combine like terms: 52s + -52s = 0 -40 + -52s + 12s2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-10 + -13s + 3s2) = 0 Factor a trinomial. 4((-2 + -3s)(5 + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -3s)' equal to zero and attempt to solve: Simplifying -2 + -3s = 0 Solving -2 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3s = 0 + 2 -3s = 0 + 2 Combine like terms: 0 + 2 = 2 -3s = 2 Divide each side by '-3'. s = -0.6666666667 Simplifying s = -0.6666666667Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve: Simplifying 5 + -1s = 0 Solving 5 + -1s = 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 + -1s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s = 0 + -5 -1s = 0 + -5 Combine like terms: 0 + -5 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5Solution
s = {-0.6666666667, 5}
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