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Simplifying 81s + -16s3 = 0 Solving 81s + -16s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(81 + -16s2) = 0 Factor a difference between two squares. s((9 + 4s)(9 + -4s)) = 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 '(9 + 4s)' equal to zero and attempt to solve: Simplifying 9 + 4s = 0 Solving 9 + 4s = 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 + 4s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4s = 0 + -9 4s = 0 + -9 Combine like terms: 0 + -9 = -9 4s = -9 Divide each side by '4'. s = -2.25 Simplifying s = -2.25Subproblem 3
Set the factor '(9 + -4s)' equal to zero and attempt to solve: Simplifying 9 + -4s = 0 Solving 9 + -4s = 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 + -4s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4s = 0 + -9 -4s = 0 + -9 Combine like terms: 0 + -9 = -9 -4s = -9 Divide each side by '-4'. s = 2.25 Simplifying s = 2.25Solution
s = {0, -2.25, 2.25}
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