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Simplifying 2s3 + -14s2 = 36s Reorder the terms: -14s2 + 2s3 = 36s Solving -14s2 + 2s3 = 36s Solving for variable 's'. Reorder the terms: -36s + -14s2 + 2s3 = 36s + -36s Combine like terms: 36s + -36s = 0 -36s + -14s2 + 2s3 = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(-18 + -7s + s2) = 0 Factor a trinomial. 2s((-2 + -1s)(9 + -1s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(-2 + -1s)' equal to zero and attempt to solve: Simplifying -2 + -1s = 0 Solving -2 + -1s = 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 + -1s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1s = 0 + 2 -1s = 0 + 2 Combine like terms: 0 + 2 = 2 -1s = 2 Divide each side by '-1'. s = -2 Simplifying s = -2Subproblem 3
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 = 9Solution
s = {0, -2, 9}
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