0=15x^2+1x-144

Solution for 0=15x^2+1x-144 equation:

0=15x^2+1x-144

We move all terms to the left:

0-(15x^2+1x-144)=0

We add all the numbers together, and all the variables

-(15x^2+1x-144)=0

We get rid of parentheses

-15x^2-1x+144=0

a = -15; b = -1; c = +144;
Δ = b2-4ac
Δ = -12-4·(-15)·144
Δ = 8641
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{-(-1)-\sqrt{8641}}{2*-15}=\frac{1-\sqrt{8641}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{8641}}{2*-15}=\frac{1+\sqrt{8641}}{-30}
$