6x2-60x+134=8

Solution for 6x2-60x+134=8 equation:

6x^2-60x+134=8

We move all terms to the left:

6x^2-60x+134-(8)=0

We add all the numbers together, and all the variables

6x^2-60x+126=0

a = 6; b = -60; c = +126;
Δ = b2-4ac
Δ = -602-4·6·126
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-24}{2*6}=\frac{36}{12}
=3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+24}{2*6}=\frac{84}{12}
=7
$