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Simplifying s2 + -2sz + -80z2 = 0 Reorder the terms: -2sz + s2 + -80z2 = 0 Solving -2sz + s2 + -80z2 = 0 Solving for variable 's'. Factor a trinomial. (s + -10z)(s + 8z) = 0Subproblem 1
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 = 10zSubproblem 2
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 = -8zSolution
s = {10z, -8z}
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