15y=6y2

Solution for 15y=6y2 equation:

15y=6y^2

We move all terms to the left:

15y-(6y^2)=0

determiningTheFunctionDomain
-6y^2+15y=0

a = -6; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-6)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-6}=\frac{-30}{-12}
=2+1/2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-6}=\frac{0}{-12}
=0
$