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Simplifying s2 + 8sz + 15z2 = 0 Reorder the terms: 8sz + s2 + 15z2 = 0 Solving 8sz + s2 + 15z2 = 0 Solving for variable 's'. Factor a trinomial. (s + 3z)(s + 5z) = 0Subproblem 1
Set the factor '(s + 3z)' equal to zero and attempt to solve: Simplifying s + 3z = 0 Solving s + 3z = 0 Move all terms containing s to the left, all other terms to the right. Add '-3z' to each side of the equation. s + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 s + 0 = 0 + -3z s = 0 + -3z Remove the zero: s = -3z Simplifying s = -3zSubproblem 2
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 = -5zSolution
s = {-3z, -5z}
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