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Simplifying s2 + 16s + 64 = 0 Reorder the terms: 64 + 16s + s2 = 0 Solving 64 + 16s + s2 = 0 Solving for variable 's'. Factor a trinomial. (8 + s)(8 + s) = 0Subproblem 1
Set the factor '(8 + s)' equal to zero and attempt to solve: Simplifying 8 + s = 0 Solving 8 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + s = 0 + -8 s = 0 + -8 Combine like terms: 0 + -8 = -8 s = -8 Simplifying s = -8Subproblem 2
Set the factor '(8 + s)' equal to zero and attempt to solve: Simplifying 8 + s = 0 Solving 8 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + s = 0 + -8 s = 0 + -8 Combine like terms: 0 + -8 = -8 s = -8 Simplifying s = -8Solution
s = {-8, -8}
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