10*2y+y-2y*y-52=0

Solution for 10*2y+y-2y*y-52=0 equation:

10*2y+y-2y*y-52=0

We add all the numbers together, and all the variables

y+10*2y-2y*y-52=0

Wy multiply elements

-2y^2+y+20y-52=0

We add all the numbers together, and all the variables

-2y^2+21y-52=0

a = -2; b = 21; c = -52;
Δ = b2-4ac
Δ = 212-4·(-2)·(-52)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-5}{2*-2}=\frac{-26}{-4}
=6+1/2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+5}{2*-2}=\frac{-16}{-4}
=+4
$