60a^2-190a=70

Solution for 60a^2-190a=70 equation:

60a^2-190a=70

We move all terms to the left:

60a^2-190a-(70)=0

a = 60; b = -190; c = -70;
Δ = b2-4ac
Δ = -1902-4·60·(-70)
Δ = 52900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{52900}=230$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-190)-230}{2*60}=\frac{-40}{120}
=-1/3
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-190)+230}{2*60}=\frac{420}{120}
=3+1/2
$