Answer:
[tex]\boxed{\bold{x=\frac{-17+\sqrt{8593}}{6},\:x=\frac{-17-\sqrt{8593}}{6}}}[/tex]
Explanation:
x(3x + 17) - 12 = 680
[tex]\bold{3x^2+17x-12=680}[/tex]
[tex]\bold{3x^2+17x-12-680=680-680}[/tex]
[tex]\bold{3x^2+17x-692=0}[/tex]
Solve With Quadratic Formula
[tex]\bold{\frac{-17+\sqrt{17^2-4\cdot \:3\left(-692\right)}}{2\cdot \:3}: \ x=\frac{-17-\sqrt{8593}}{6}}[/tex]
[tex]\bold{\frac{-17-\sqrt{17^2-4\cdot \:3\left(-692\right)}}{2\cdot \:3}: \ x=\frac{-17+\sqrt{8593}}{6}}[/tex]
