0=x^2-130x+3600

Solution for 0=x^2-130x+3600 equation:

0=x^2-130x+3600

We move all terms to the left:

0-(x^2-130x+3600)=0

We add all the numbers together, and all the variables

-(x^2-130x+3600)=0

We get rid of parentheses

-x^2+130x-3600=0

We add all the numbers together, and all the variables

-1x^2+130x-3600=0

a = -1; b = 130; c = -3600;
Δ = b2-4ac
Δ = 1302-4·(-1)·(-3600)
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{-(130)-50}{2*-1}=\frac{-180}{-2}
=+90
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(130)+50}{2*-1}=\frac{-80}{-2}
=+40
$