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Simplifying 14(s) = 2s2 + -36 Reorder the terms: 14s = -36 + 2s2 Solving 14s = -36 + 2s2 Solving for variable 's'. Reorder the terms: 36 + 14s + -2s2 = -36 + 2s2 + 36 + -2s2 Reorder the terms: 36 + 14s + -2s2 = -36 + 36 + 2s2 + -2s2 Combine like terms: -36 + 36 = 0 36 + 14s + -2s2 = 0 + 2s2 + -2s2 36 + 14s + -2s2 = 2s2 + -2s2 Combine like terms: 2s2 + -2s2 = 0 36 + 14s + -2s2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 7s + -1s2) = 0 Factor a trinomial. 2((9 + -1s)(2 + s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Divide each side by '-1'. s = 9 Simplifying s = 9Subproblem 2
Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 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 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Solution
s = {9, -2}
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