0=5x^2-60x+126

Solution for 0=5x^2-60x+126 equation:

0=5x^2-60x+126

We move all terms to the left:

0-(5x^2-60x+126)=0

We add all the numbers together, and all the variables

-(5x^2-60x+126)=0

We get rid of parentheses

-5x^2+60x-126=0

a = -5; b = 60; c = -126;
Δ = b2-4ac
Δ = 602-4·(-5)·(-126)
Δ = 1080
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1080}=\sqrt{36*30}=\sqrt{36}*\sqrt{30}=6\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-6\sqrt{30}}{2*-5}=\frac{-60-6\sqrt{30}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+6\sqrt{30}}{2*-5}=\frac{-60+6\sqrt{30}}{-10}
$