-18x2-x+5=0

Solution for -18x2-x+5=0 equation:

-18x^2-x+5=0

We add all the numbers together, and all the variables

-18x^2-1x+5=0

a = -18; b = -1; c = +5;
Δ = b2-4ac
Δ = -12-4·(-18)·5
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{-(-1)-19}{2*-18}=\frac{-18}{-36}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+19}{2*-18}=\frac{20}{-36}
=-5/9
$