11p^2-12=3-11p

Solution for 11p^2-12=3-11p equation:

11p^2-12=3-11p

We move all terms to the left:

11p^2-12-(3-11p)=0

We add all the numbers together, and all the variables

11p^2-(-11p+3)-12=0

We get rid of parentheses

11p^2+11p-3-12=0

We add all the numbers together, and all the variables

11p^2+11p-15=0

a = 11; b = 11; c = -15;
Δ = b2-4ac
Δ = 112-4·11·(-15)
Δ = 781
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{781}}{2*11}=\frac{-11-\sqrt{781}}{22}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{781}}{2*11}=\frac{-11+\sqrt{781}}{22}
$