-36+29p=-7p2-7p

Solution for -36+29p=-7p2-7p equation:

-36+29p=-7p^2-7p

We move all terms to the left:

-36+29p-(-7p^2-7p)=0

We get rid of parentheses

7p^2+7p+29p-36=0

We add all the numbers together, and all the variables

7p^2+36p-36=0

a = 7; b = 36; c = -36;
Δ = b2-4ac
Δ = 362-4·7·(-36)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-48}{2*7}=\frac{-84}{14}
=-6
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+48}{2*7}=\frac{12}{14}
=6/7
$