144v^2-12=157

Solution for 144v^2-12=157 equation:

144v^2-12=157

We move all terms to the left:

144v^2-12-(157)=0

We add all the numbers together, and all the variables

144v^2-169=0

a = 144; b = 0; c = -169;
Δ = b2-4ac
Δ = 02-4·144·(-169)
Δ = 97344
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{97344}=312$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-312}{2*144}=\frac{-312}{288}
=-1+1/12
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+312}{2*144}=\frac{312}{288}
=1+1/12
$