0=6x^2-10x-100

Solution for 0=6x^2-10x-100 equation:

0=6x^2-10x-100

We move all terms to the left:

0-(6x^2-10x-100)=0

We add all the numbers together, and all the variables

-(6x^2-10x-100)=0

We get rid of parentheses

-6x^2+10x+100=0

a = -6; b = 10; c = +100;
Δ = b2-4ac
Δ = 102-4·(-6)·100
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-50}{2*-6}=\frac{-60}{-12}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+50}{2*-6}=\frac{40}{-12}
=-3+1/3
$