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Simplifying 6s + -1s3 = s Solving 6s + -1s3 = s Solving for variable 's'. Reorder the terms: 6s + -1s + -1s3 = s + -1s Combine like terms: 6s + -1s = 5s 5s + -1s3 = s + -1s Combine like terms: s + -1s = 0 5s + -1s3 = 0 Factor out the Greatest Common Factor (GCF), 's'. s(5 + -1s2) = 0Subproblem 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 '(5 + -1s2)' equal to zero and attempt to solve: Simplifying 5 + -1s2 = 0 Solving 5 + -1s2 = 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 + -1s2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s2 = 0 + -5 -1s2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1s2 = -5 Divide each side by '-1'. s2 = 5 Simplifying s2 = 5 Take the square root of each side: s = {-2.236067978, 2.236067978}Solution
s = {0, -2.236067978, 2.236067978}
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