8y*5y=3000

Solution for 8y*5y=3000 equation:

8y*5y=3000

We move all terms to the left:

8y*5y-(3000)=0

Wy multiply elements

40y^2-3000=0

a = 40; b = 0; c = -3000;
Δ = b2-4ac
Δ = 02-4·40·(-3000)
Δ = 480000
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:

$\sqrt{\Delta}=\sqrt{480000}=\sqrt{160000*3}=\sqrt{160000}*\sqrt{3}=400\sqrt{3}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-400\sqrt{3}}{2*40}=\frac{0-400\sqrt{3}}{80}
=-\frac{400\sqrt{3}}{80}
=-5\sqrt{3}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+400\sqrt{3}}{2*40}=\frac{0+400\sqrt{3}}{80}
=\frac{400\sqrt{3}}{80}
=5\sqrt{3}
$