0=2x^2-9x-35

Solution for 0=2x^2-9x-35 equation:

0=2x^2-9x-35

We move all terms to the left:

0-(2x^2-9x-35)=0

We add all the numbers together, and all the variables

-(2x^2-9x-35)=0

We get rid of parentheses

-2x^2+9x+35=0

a = -2; b = 9; c = +35;
Δ = b2-4ac
Δ = 92-4·(-2)·35
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-19}{2*-2}=\frac{-28}{-4}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+19}{2*-2}=\frac{10}{-4}
=-2+1/2
$