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Simplifying s2 + -1sz + -20z2 = 0 Reorder the terms: -1sz + s2 + -20z2 = 0 Solving -1sz + s2 + -20z2 = 0 Solving for variable 's'. Factor a trinomial. (s + -5z)(s + 4z) = 0Subproblem 1
Set the factor '(s + -5z)' equal to zero and attempt to solve: Simplifying s + -5z = 0 Solving s + -5z = 0 Move all terms containing s to the left, all other terms to the right. Add '5z' to each side of the equation. s + -5z + 5z = 0 + 5z Combine like terms: -5z + 5z = 0 s + 0 = 0 + 5z s = 0 + 5z Remove the zero: s = 5z Simplifying s = 5zSubproblem 2
Set the factor '(s + 4z)' equal to zero and attempt to solve: Simplifying s + 4z = 0 Solving s + 4z = 0 Move all terms containing s to the left, all other terms to the right. Add '-4z' to each side of the equation. s + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 s + 0 = 0 + -4z s = 0 + -4z Remove the zero: s = -4z Simplifying s = -4zSolution
s = {5z, -4z}
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