11p=-12+5p^2

Solution for 11p=-12+5p^2 equation:

11p=-12+5p^2

We move all terms to the left:

11p-(-12+5p^2)=0

We get rid of parentheses

-5p^2+11p+12=0

a = -5; b = 11; c = +12;
Δ = b2-4ac
Δ = 112-4·(-5)·12
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-19}{2*-5}=\frac{-30}{-10}
=+3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+19}{2*-5}=\frac{8}{-10}
=-4/5
$