60x^2-69x=8

Solution for 60x^2-69x=8 equation:

60x^2-69x=8

We move all terms to the left:

60x^2-69x-(8)=0

a = 60; b = -69; c = -8;
Δ = b2-4ac
Δ = -692-4·60·(-8)
Δ = 6681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-69)-\sqrt{6681}}{2*60}=\frac{69-\sqrt{6681}}{120}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-69)+\sqrt{6681}}{2*60}=\frac{69+\sqrt{6681}}{120}
$