64=v^2/5+19

Solution for 64=v^2/5+19 equation:

64=v^2/5+19

We move all terms to the left:

64-(v^2/5+19)=0

We get rid of parentheses

-v^2/5-19+64=0

We multiply all the terms by the denominator


-v^2-19*5+64*5=0

We add all the numbers together, and all the variables

-1v^2+225=0

a = -1; b = 0; c = +225;
Δ = b2-4ac
Δ = 02-4·(-1)·225
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*-1}=\frac{-30}{-2}
=+15
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*-1}=\frac{30}{-2}
=-15
$