5p^2-1=194

Solution for 5p^2-1=194 equation:

Simplifying
5p2 + -1 = 194

Reorder the terms:
-1 + 5p2 = 194

Solving
-1 + 5p2 = 194

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 1 + 5p2 = 194 + 1

Combine like terms: -1 + 1 = 0
0 + 5p2 = 194 + 1
5p2 = 194 + 1

Combine like terms: 194 + 1 = 195
5p2 = 195

Divide each side by '5'.
p2 = 39

Simplifying
p2 = 39

Take the square root of each side:
p = {-6.244997998, 6.244997998}