0=3x^2-144x-300

Solution for 0=3x^2-144x-300 equation:

0=3x^2-144x-300

We move all terms to the left:

0-(3x^2-144x-300)=0

We add all the numbers together, and all the variables

-(3x^2-144x-300)=0

We get rid of parentheses

-3x^2+144x+300=0

a = -3; b = 144; c = +300;
Δ = b2-4ac
Δ = 1442-4·(-3)·300
Δ = 24336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24336}=156$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(144)-156}{2*-3}=\frac{-300}{-6}
=+50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(144)+156}{2*-3}=\frac{12}{-6}
=-2
$