((5)(5))+((b)(b))=((13)(13))

Solution for ((5)(5))+((b)(b))=((13)(13)) equation:

Simplifying
((5)(5)) + ((b)(b)) = ((13)(13))

Multiply 5 * 5
(25) + ((b)(b)) = ((13)(13))
25 + ((b)(b)) = ((13)(13))

Multiply b * b
25 + (b2) = ((13)(13))
25 + b2 = ((13)(13))

Multiply 13 * 13
25 + b2 = (169)
25 + b2 = 169

Solving
25 + b2 = 169

Solving for variable 'b'.

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

Add '-25' to each side of the equation.
25 + -25 + b2 = 169 + -25

Combine like terms: 25 + -25 = 0
0 + b2 = 169 + -25
b2 = 169 + -25

Combine like terms: 169 + -25 = 144
b2 = 144

Simplifying
b2 = 144

Take the square root of each side:
b = {-12, 12}