Get the constant term +29 off the left side:
Divide through by the leading coefficient 4
To the side, multiply the coefficient of p, which is -8
by 1/2, getting -4, then square -4, getting (-4)² = 16.
Then add +16 to both sides:
This causes the left side to became a trinomial which
when factored becomes a perfect square. And we get an
LCD on the right of 4
Write the left side as a perfect square. Combine
the fractions on the right:
Use the principle of square roots:
We can take the square root of 4 on the bottom
on the right:
Solve for p by adding 4 to both sides:
You can leave it like that or you can
get an LCD of 2
And then combine the two fractions
The two solutions are:
and 
Edwin
