4p^2-29-20=0

Solution for 4p^2-29-20=0 equation:

Simplifying
4p2 + -29 + -20 = 0

Reorder the terms:
-29 + -20 + 4p2 = 0

Combine like terms: -29 + -20 = -49
-49 + 4p2 = 0

Solving
-49 + 4p2 = 0

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '49' to each side of the equation.
-49 + 49 + 4p2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4p2 = 0 + 49
4p2 = 0 + 49

Combine like terms: 0 + 49 = 49
4p2 = 49

Divide each side by '4'.
p2 = 12.25

Simplifying
p2 = 12.25

Take the square root of each side:
p = {-3.5, 3.5}