75*75=60*60+a*a

Solution for 75*75=60*60+a*a equation:

Simplifying
75 * 75 = 60 * 60 + a * a

Multiply 75 * 75
5625 = 60 * 60 + a * a

Multiply 60 * 60
5625 = 3600 + a * a

Multiply a * a
5625 = 3600 + a2

Solving
5625 = 3600 + a2

Solving for variable 'a'.

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

Add '-1a2' to each side of the equation.
5625 + -1a2 = 3600 + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
5625 + -1a2 = 3600 + 0
5625 + -1a2 = 3600

Add '-5625' to each side of the equation.
5625 + -5625 + -1a2 = 3600 + -5625

Combine like terms: 5625 + -5625 = 0
0 + -1a2 = 3600 + -5625
-1a2 = 3600 + -5625

Combine like terms: 3600 + -5625 = -2025
-1a2 = -2025

Divide each side by '-1'.
a2 = 2025

Simplifying
a2 = 2025

Take the square root of each side:
a = {-45, 45}