5p^2-25+4p^2=24

Solution for 5p^2-25+4p^2=24 equation:

Simplifying
5p2 + -25 + 4p2 = 24

Reorder the terms:
-25 + 5p2 + 4p2 = 24

Combine like terms: 5p2 + 4p2 = 9p2
-25 + 9p2 = 24

Solving
-25 + 9p2 = 24

Solving for variable 'p'.

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

Add '25' to each side of the equation.
-25 + 25 + 9p2 = 24 + 25

Combine like terms: -25 + 25 = 0
0 + 9p2 = 24 + 25
9p2 = 24 + 25

Combine like terms: 24 + 25 = 49
9p2 = 49

Divide each side by '9'.
p2 = 5.444444444

Simplifying
p2 = 5.444444444

Take the square root of each side:
p = {-2.333333333, 2.333333333}