5p^2-25-4p^2+24=0

Solution for 5p^2-25-4p^2+24=0 equation:

Simplifying
5p2 + -25 + -4p2 + 24 = 0

Reorder the terms:
-25 + 24 + 5p2 + -4p2 = 0

Combine like terms: -25 + 24 = -1
-1 + 5p2 + -4p2 = 0

Combine like terms: 5p2 + -4p2 = 1p2
-1 + 1p2 = 0

Solving
-1 + 1p2 = 0

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 + 1p2 = 0 + 1

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

Combine like terms: 0 + 1 = 1
1p2 = 1

Divide each side by '1'.
p2 = 1

Simplifying
p2 = 1

Take the square root of each side:
p = {-1, 1}