10v^2=360

Solution for 10v^2=360 equation:

10v^2=360

We move all terms to the left:

10v^2-(360)=0

a = 10; b = 0; c = -360;
Δ = b2-4ac
Δ = 02-4·10·(-360)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*10}=\frac{-120}{20}
=-6
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*10}=\frac{120}{20}
=6
$