9p^2-11p-36=-12

Solution for 9p^2-11p-36=-12 equation:

9p^2-11p-36=-12

We move all terms to the left:

9p^2-11p-36-(-12)=0

We add all the numbers together, and all the variables

9p^2-11p-24=0

a = 9; b = -11; c = -24;
Δ = b2-4ac
Δ = -112-4·9·(-24)
Δ = 985
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{985}}{2*9}=\frac{11-\sqrt{985}}{18}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{985}}{2*9}=\frac{11+\sqrt{985}}{18}
$