10p^2-250=0

Solution for 10p^2-250=0 equation:

Simplifying
10p2 + -250 = 0

Reorder the terms:
-250 + 10p2 = 0

Solving
-250 + 10p2 = 0

Solving for variable 'p'.

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

Add '250' to each side of the equation.
-250 + 250 + 10p2 = 0 + 250

Combine like terms: -250 + 250 = 0
0 + 10p2 = 0 + 250
10p2 = 0 + 250

Combine like terms: 0 + 250 = 250
10p2 = 250

Divide each side by '10'.
p2 = 25

Simplifying
p2 = 25

Take the square root of each side:
p = {-5, 5}