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Simplifying s2 + -2sz + -63z2 = 0 Reorder the terms: -2sz + s2 + -63z2 = 0 Solving -2sz + s2 + -63z2 = 0 Solving for variable 's'. Factor a trinomial. (s + -9z)(s + 7z) = 0Subproblem 1
Set the factor '(s + -9z)' equal to zero and attempt to solve: Simplifying s + -9z = 0 Solving s + -9z = 0 Move all terms containing s to the left, all other terms to the right. Add '9z' to each side of the equation. s + -9z + 9z = 0 + 9z Combine like terms: -9z + 9z = 0 s + 0 = 0 + 9z s = 0 + 9z Remove the zero: s = 9z Simplifying s = 9zSubproblem 2
Set the factor '(s + 7z)' equal to zero and attempt to solve: Simplifying s + 7z = 0 Solving s + 7z = 0 Move all terms containing s to the left, all other terms to the right. Add '-7z' to each side of the equation. s + 7z + -7z = 0 + -7z Combine like terms: 7z + -7z = 0 s + 0 = 0 + -7z s = 0 + -7z Remove the zero: s = -7z Simplifying s = -7zSolution
s = {9z, -7z}
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