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Simplifying 4s + -81s3 = 0 Solving 4s + -81s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(4 + -81s2) = 0 Factor a difference between two squares. s((2 + 9s)(2 + -9s)) = 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 '(2 + 9s)' equal to zero and attempt to solve: Simplifying 2 + 9s = 0 Solving 2 + 9s = 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 + 9s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9s = 0 + -2 9s = 0 + -2 Combine like terms: 0 + -2 = -2 9s = -2 Divide each side by '9'. s = -0.2222222222 Simplifying s = -0.2222222222Subproblem 3
Set the factor '(2 + -9s)' equal to zero and attempt to solve: Simplifying 2 + -9s = 0 Solving 2 + -9s = 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 + -9s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9s = 0 + -2 -9s = 0 + -2 Combine like terms: 0 + -2 = -2 -9s = -2 Divide each side by '-9'. s = 0.2222222222 Simplifying s = 0.2222222222Solution
s = {0, -0.2222222222, 0.2222222222}
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