14+22-15y^2+23y=0

Solution for 14+22-15y^2+23y=0 equation:

14+22-15y^2+23y=0

We add all the numbers together, and all the variables

-15y^2+23y+36=0

a = -15; b = 23; c = +36;
Δ = b2-4ac
Δ = 232-4·(-15)·36
Δ = 2689
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-\sqrt{2689}}{2*-15}=\frac{-23-\sqrt{2689}}{-30}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+\sqrt{2689}}{2*-15}=\frac{-23+\sqrt{2689}}{-30}
$