(y*3)+5=y*y

Solution for (y*3)+5=y*y equation:

(y*3)+5=y*y

We move all terms to the left:

(y*3)+5-(y*y)=0

We add all the numbers together, and all the variables

(+y*3)-(+y*y)+5=0

We get rid of parentheses

y*3-y*y+5=0

Wy multiply elements

-1y^2+3y+5=0

a = -1; b = 3; c = +5;
Δ = b2-4ac
Δ = 32-4·(-1)·5
Δ = 29
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{-(3)-\sqrt{29}}{2*-1}=\frac{-3-\sqrt{29}}{-2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{29}}{2*-1}=\frac{-3+\sqrt{29}}{-2}
$