30*20=16y*y

Solution for 30*20=16y*y equation:

30*20=16y*y

We move all terms to the left:

30*20-(16y*y)=0

We add all the numbers together, and all the variables

-(+16y*y)+30*20=0

We add all the numbers together, and all the variables

-(+16y*y)+600=0

We get rid of parentheses

-16y*y+600=0

Wy multiply elements

-16y^2+600=0

a = -16; b = 0; c = +600;
Δ = b2-4ac
Δ = 02-4·(-16)·600
Δ = 38400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{38400}=\sqrt{6400*6}=\sqrt{6400}*\sqrt{6}=80\sqrt{6}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80\sqrt{6}}{2*-16}=\frac{0-80\sqrt{6}}{-32}
=-\frac{80\sqrt{6}}{-32}
=-\frac{5\sqrt{6}}{-2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80\sqrt{6}}{2*-16}=\frac{0+80\sqrt{6}}{-32}
=\frac{80\sqrt{6}}{-32}
=\frac{5\sqrt{6}}{-2}
$