6x^2-520x=5550

Solution for 6x^2-520x=5550 equation:

6x^2-520x=5550

We move all terms to the left:

6x^2-520x-(5550)=0

a = 6; b = -520; c = -5550;
Δ = b2-4ac
Δ = -5202-4·6·(-5550)
Δ = 403600
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:

$\sqrt{\Delta}=\sqrt{403600}=\sqrt{400*1009}=\sqrt{400}*\sqrt{1009}=20\sqrt{1009}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-520)-20\sqrt{1009}}{2*6}=\frac{520-20\sqrt{1009}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-520)+20\sqrt{1009}}{2*6}=\frac{520+20\sqrt{1009}}{12}
$