32=5u*3u

Solution for 32=5u*3u equation:

32=5u*3u

We move all terms to the left:

32-(5u*3u)=0

We add all the numbers together, and all the variables

-(+5u*3u)+32=0

We get rid of parentheses

-5u*3u+32=0

Wy multiply elements

-15u^2+32=0

a = -15; b = 0; c = +32;
Δ = b2-4ac
Δ = 02-4·(-15)·32
Δ = 1920
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1920}=\sqrt{64*30}=\sqrt{64}*\sqrt{30}=8\sqrt{30}$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{30}}{2*-15}=\frac{0-8\sqrt{30}}{-30}
=-\frac{8\sqrt{30}}{-30}
=-\frac{4\sqrt{30}}{-15}
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{30}}{2*-15}=\frac{0+8\sqrt{30}}{-30}
=\frac{8\sqrt{30}}{-30}
=\frac{4\sqrt{30}}{-15}
$