((a)(a))+((24)(24))=((25)(25))

Solution for ((a)(a))+((24)(24))=((25)(25)) equation:

Simplifying
((a)(a)) + ((24)(24)) = ((25)(25))

Multiply a * a
(a2) + ((24)(24)) = ((25)(25))
a2 + ((24)(24)) = ((25)(25))

Multiply 24 * 24
a2 + (576) = ((25)(25))
a2 + 576 = ((25)(25))

Reorder the terms:
576 + a2 = ((25)(25))

Multiply 25 * 25
576 + a2 = (625)
576 + a2 = 625

Solving
576 + a2 = 625

Solving for variable 'a'.

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

Add '-576' to each side of the equation.
576 + -576 + a2 = 625 + -576

Combine like terms: 576 + -576 = 0
0 + a2 = 625 + -576
a2 = 625 + -576

Combine like terms: 625 + -576 = 49
a2 = 49

Simplifying
a2 = 49

Take the square root of each side:
a = {-7, 7}