Answer
$m=\{ -6,1 \}$
Work Step by Step
Using $\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$ (or the Quadratic Formula), then the solutions of the given equation, $
m^2+5m-6=0
,$ are
\begin{array}{l}\require{cancel}
\dfrac{-5\pm\sqrt{5^2-4(1)(-6)}}{2(1)}
\\\\=
\dfrac{-5\pm\sqrt{25+24}}{2}
\\\\=
\dfrac{-5\pm\sqrt{49}}{2}
\\\\=
\dfrac{-5\pm7}{2}
.\end{array}
Hence, $
m=\{ -6,1 \}
.$
