(a*a)+(5*5)=(25*25)

Solution for (a*a)+(5*5)=(25*25) equation:

Simplifying
(a * a) + (5 * 5) = (25 * 25)

Multiply a * a
(a2) + (5 * 5) = (25 * 25)
a2 + (5 * 5) = (25 * 25)

Multiply 5 * 5
a2 + (25) = (25 * 25)
a2 + 25 = (25 * 25)

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

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

Solving
25 + a2 = 625

Solving for variable 'a'.

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

Add '-25' to each side of the equation.
25 + -25 + a2 = 625 + -25

Combine like terms: 25 + -25 = 0
0 + a2 = 625 + -25
a2 = 625 + -25

Combine like terms: 625 + -25 = 600
a2 = 600

Simplifying
a2 = 600

Take the square root of each side:
a = {-24.494897428, 24.494897428}