6x2-52x=80

Solution for 6x2-52x=80 equation:

6x^2-52x=80

We move all terms to the left:

6x^2-52x-(80)=0

a = 6; b = -52; c = -80;
Δ = b2-4ac
Δ = -522-4·6·(-80)
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-52)-68}{2*6}=\frac{-16}{12}
=-1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-52)+68}{2*6}=\frac{120}{12}
=10
$