5p^2+1=71

Solution for 5p^2+1=71 equation:

Simplifying
5p2 + 1 = 71

Reorder the terms:
1 + 5p2 = 71

Solving
1 + 5p2 = 71

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 = 71 + -1

Combine like terms: 1 + -1 = 0
0 + 5p2 = 71 + -1
5p2 = 71 + -1

Combine like terms: 71 + -1 = 70
5p2 = 70

Divide each side by '5'.
p2 = 14

Simplifying
p2 = 14

Take the square root of each side:
p = {-3.741657387, 3.741657387}