Algebra

The answer is (-0.6, 11.8)

First, let's simplify the equation. 

Combining all like terms and reeaaranging the left, we get the equation

$y=-5x^{2}-6x+10$

Now, we know the x value of the vertex can be written in the form $-\frac{b}{2a}$ for quadratics in the form $y=ax^2+bx+c$

Plugging in what we have, we get $-\frac{6}{10}=-0.6$

Subsituting this back to find y, we get $y=11.8$

Thus, our final answer is $(-0.6,11.8)$

Thanks! :)