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Simplifying 9s3 + -25s = 0 Reorder the terms: -25s + 9s3 = 0 Solving -25s + 9s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(-25 + 9s2) = 0 Factor a difference between two squares. s((5 + 3s)(-5 + 3s)) = 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 + 3s)' equal to zero and attempt to solve: Simplifying 5 + 3s = 0 Solving 5 + 3s = 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 + 3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3s = 0 + -5 3s = 0 + -5 Combine like terms: 0 + -5 = -5 3s = -5 Divide each side by '3'. s = -1.666666667 Simplifying s = -1.666666667Subproblem 3
Set the factor '(-5 + 3s)' equal to zero and attempt to solve: Simplifying -5 + 3s = 0 Solving -5 + 3s = 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 + 3s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3s = 0 + 5 3s = 0 + 5 Combine like terms: 0 + 5 = 5 3s = 5 Divide each side by '3'. s = 1.666666667 Simplifying s = 1.666666667Solution
s = {0, -1.666666667, 1.666666667}
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