9p^2-6p-29=6

Solution for 9p^2-6p-29=6 equation:

9p^2-6p-29=6

We move all terms to the left:

9p^2-6p-29-(6)=0

We add all the numbers together, and all the variables

9p^2-6p-35=0

a = 9; b = -6; c = -35;
Δ = b2-4ac
Δ = -62-4·9·(-35)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-36}{2*9}=\frac{-30}{18}
=-1+2/3
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+36}{2*9}=\frac{42}{18}
=2+1/3
$