5p^2+p^2-3=512

Solution for 5p^2+p^2-3=512 equation:

Simplifying
5p2 + p2 + -3 = 512

Reorder the terms:
-3 + 5p2 + p2 = 512

Combine like terms: 5p2 + p2 = 6p2
-3 + 6p2 = 512

Solving
-3 + 6p2 = 512

Solving for variable 'p'.

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

Add '3' to each side of the equation.
-3 + 3 + 6p2 = 512 + 3

Combine like terms: -3 + 3 = 0
0 + 6p2 = 512 + 3
6p2 = 512 + 3

Combine like terms: 512 + 3 = 515
6p2 = 515

Divide each side by '6'.
p2 = 85.83333333

Simplifying
p2 = 85.83333333

Take the square root of each side:
p = {-9.264628073, 9.264628073}