-2x^2-17x=-30

Solution for -2x^2-17x=-30 equation:

-2x^2-17x=-30

We move all terms to the left:

-2x^2-17x-(-30)=0

We add all the numbers together, and all the variables

-2x^2-17x+30=0

a = -2; b = -17; c = +30;
Δ = b2-4ac
Δ = -172-4·(-2)·30
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-23}{2*-2}=\frac{-6}{-4}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+23}{2*-2}=\frac{40}{-4}
=-10
$