0=2x^2-9x-10

Solution for 0=2x^2-9x-10 equation:

0=2x^2-9x-10

We move all terms to the left:

0-(2x^2-9x-10)=0

We add all the numbers together, and all the variables

-(2x^2-9x-10)=0

We get rid of parentheses

-2x^2+9x+10=0

a = -2; b = 9; c = +10;
Δ = b2-4ac
Δ = 92-4·(-2)·10
Δ = 161
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{161}}{2*-2}=\frac{-9-\sqrt{161}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{161}}{2*-2}=\frac{-9+\sqrt{161}}{-4}
$