15y*3y=3

Solution for 15y*3y=3 equation:

15y*3y=3

We move all terms to the left:

15y*3y-(3)=0

Wy multiply elements

45y^2-3=0

a = 45; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·45·(-3)
Δ = 540
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:

$\sqrt{\Delta}=\sqrt{540}=\sqrt{36*15}=\sqrt{36}*\sqrt{15}=6\sqrt{15}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{15}}{2*45}=\frac{0-6\sqrt{15}}{90}
=-\frac{6\sqrt{15}}{90}
=-\frac{\sqrt{15}}{15}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{15}}{2*45}=\frac{0+6\sqrt{15}}{90}
=\frac{6\sqrt{15}}{90}
=\frac{\sqrt{15}}{15}
$