0=2x^2-3x-164

Solution for 0=2x^2-3x-164 equation:

0=2x^2-3x-164

We move all terms to the left:

0-(2x^2-3x-164)=0

We add all the numbers together, and all the variables

-(2x^2-3x-164)=0

We get rid of parentheses

-2x^2+3x+164=0

a = -2; b = 3; c = +164;
Δ = b2-4ac
Δ = 32-4·(-2)·164
Δ = 1321
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{-(3)-\sqrt{1321}}{2*-2}=\frac{-3-\sqrt{1321}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{1321}}{2*-2}=\frac{-3+\sqrt{1321}}{-4}
$