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Simplifying 6s3 + 4s = 14s2 Reorder the terms: 4s + 6s3 = 14s2 Solving 4s + 6s3 = 14s2 Solving for variable 's'. Reorder the terms: 4s + -14s2 + 6s3 = 14s2 + -14s2 Combine like terms: 14s2 + -14s2 = 0 4s + -14s2 + 6s3 = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(2 + -7s + 3s2) = 0 Factor a trinomial. 2s((1 + -3s)(2 + -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 '(1 + -3s)' equal to zero and attempt to solve: Simplifying 1 + -3s = 0 Solving 1 + -3s = 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 + -3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3s = 0 + -1 -3s = 0 + -1 Combine like terms: 0 + -1 = -1 -3s = -1 Divide each side by '-3'. s = 0.3333333333 Simplifying s = 0.3333333333Subproblem 3
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 = 2Solution
s = {0, 0.3333333333, 2}
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