Answer:
[tex]a=\frac{3}{2},\:a=-\frac{8}{3}[/tex]
Step-by-step explanation:
[tex]a=6,\:b=7,\:c=-24:\quad a_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\cdot \:6\left(-24\right)}}{2\cdot \:6}[/tex]
[tex]a=\frac{3}{2},\:a=-\frac{8}{3}[/tex]
[tex]\mathrm{Factor}\:6a^2+7a-24:\quad \left(2a-3\right)\left(3a+8\right)[/tex]
