3p^2-5=89

Solution for 3p^2-5=89 equation:

Simplifying
3p2 + -5 = 89

Reorder the terms:
-5 + 3p2 = 89

Solving
-5 + 3p2 = 89

Solving for variable 'p'.

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

Add '5' to each side of the equation.
-5 + 5 + 3p2 = 89 + 5

Combine like terms: -5 + 5 = 0
0 + 3p2 = 89 + 5
3p2 = 89 + 5

Combine like terms: 89 + 5 = 94
3p2 = 94

Divide each side by '3'.
p2 = 31.33333333

Simplifying
p2 = 31.33333333

Take the square root of each side:
p = {-5.597618541, 5.597618541}