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Simplifying s2 + -7sz + 12z2 = 0 Reorder the terms: -7sz + s2 + 12z2 = 0 Solving -7sz + s2 + 12z2 = 0 Solving for variable 's'. Factor a trinomial. (s + -4z)(s + -3z) = 0Subproblem 1
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 = 4zSubproblem 2
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 = 3zSolution
s = {4z, 3z}
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