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Simplifying s2 + 18sz + 80z2 = 0 Reorder the terms: 18sz + s2 + 80z2 = 0 Solving 18sz + s2 + 80z2 = 0 Solving for variable 's'. Factor a trinomial. (s + 8z)(s + 10z) = 0Subproblem 1
Set the factor '(s + 8z)' equal to zero and attempt to solve: Simplifying s + 8z = 0 Solving s + 8z = 0 Move all terms containing s to the left, all other terms to the right. Add '-8z' to each side of the equation. s + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 s + 0 = 0 + -8z s = 0 + -8z Remove the zero: s = -8z Simplifying s = -8zSubproblem 2
Set the factor '(s + 10z)' equal to zero and attempt to solve: Simplifying s + 10z = 0 Solving s + 10z = 0 Move all terms containing s to the left, all other terms to the right. Add '-10z' to each side of the equation. s + 10z + -10z = 0 + -10z Combine like terms: 10z + -10z = 0 s + 0 = 0 + -10z s = 0 + -10z Remove the zero: s = -10z Simplifying s = -10zSolution
s = {-8z, -10z}
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