4y=64y2

Solution for 4y=64y2 equation:

4y=64y^2

We move all terms to the left:

4y-(64y^2)=0

determiningTheFunctionDomain
-64y^2+4y=0

a = -64; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-64)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-64}=\frac{-8}{-128}
=1/16
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-64}=\frac{0}{-128}
=0
$