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Simplifying 3s2 + 6s + 5 = 365 Reorder the terms: 5 + 6s + 3s2 = 365 Solving 5 + 6s + 3s2 = 365 Solving for variable 's'. Reorder the terms: 5 + -365 + 6s + 3s2 = 365 + -365 Combine like terms: 5 + -365 = -360 -360 + 6s + 3s2 = 365 + -365 Combine like terms: 365 + -365 = 0 -360 + 6s + 3s2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-120 + 2s + s2) = 0 Factor a trinomial. 3((-12 + -1s)(10 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-12 + -1s)' equal to zero and attempt to solve: Simplifying -12 + -1s = 0 Solving -12 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1s = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1s = 0 + 12 -1s = 0 + 12 Combine like terms: 0 + 12 = 12 -1s = 12 Divide each side by '-1'. s = -12 Simplifying s = -12Subproblem 2
Set the factor '(10 + -1s)' equal to zero and attempt to solve: Simplifying 10 + -1s = 0 Solving 10 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1s = 0 + -10 -1s = 0 + -10 Combine like terms: 0 + -10 = -10 -1s = -10 Divide each side by '-1'. s = 10 Simplifying s = 10Solution
s = {-12, 10}
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