14y=15y2

Solution for 14y=15y2 equation:

14y=15y^2

We move all terms to the left:

14y-(15y^2)=0

determiningTheFunctionDomain
-15y^2+14y=0

a = -15; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·(-15)·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*-15}=\frac{-28}{-30}
=14/15
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*-15}=\frac{0}{-30}
=0
$