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Simplifying s2(s2 + 8s + 16) = 0 Reorder the terms: s2(16 + 8s + s2) = 0 (16 * s2 + 8s * s2 + s2 * s2) = 0 (16s2 + 8s3 + s4) = 0 Solving 16s2 + 8s3 + s4 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's2'. s2(16 + 8s + s2) = 0 Factor a trinomial. s2((4 + s)(4 + s)) = 0Subproblem 1
Set the factor 's2' equal to zero and attempt to solve: Simplifying s2 = 0 Solving s2 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2 = 0 Take the square root of each side: s = {0}Subproblem 2
Set the factor '(4 + s)' equal to zero and attempt to solve: Simplifying 4 + s = 0 Solving 4 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s = 0 + -4 s = 0 + -4 Combine like terms: 0 + -4 = -4 s = -4 Simplifying s = -4Subproblem 3
Set the factor '(4 + s)' equal to zero and attempt to solve: Simplifying 4 + s = 0 Solving 4 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s = 0 + -4 s = 0 + -4 Combine like terms: 0 + -4 = -4 s = -4 Simplifying s = -4Solution
s = {0, -4, -4}
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