0=525x^2-25x-6

Solution for 0=525x^2-25x-6 equation:

0=525x^2-25x-6

We move all terms to the left:

0-(525x^2-25x-6)=0

We add all the numbers together, and all the variables

-(525x^2-25x-6)=0

We get rid of parentheses

-525x^2+25x+6=0

a = -525; b = 25; c = +6;
Δ = b2-4ac
Δ = 252-4·(-525)·6
Δ = 13225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13225}=115$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-115}{2*-525}=\frac{-140}{-1050}
=2/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+115}{2*-525}=\frac{90}{-1050}
=-3/35
$