((7)(7))+((b)(b))=((25)(25))

Solution for ((7)(7))+((b)(b))=((25)(25)) equation:

Simplifying
((7)(7)) + ((b)(b)) = ((25)(25))

Multiply 7 * 7
(49) + ((b)(b)) = ((25)(25))
49 + ((b)(b)) = ((25)(25))

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

Multiply 25 * 25
49 + b2 = (625)
49 + b2 = 625

Solving
49 + b2 = 625

Solving for variable 'b'.

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

Add '-49' to each side of the equation.
49 + -49 + b2 = 625 + -49

Combine like terms: 49 + -49 = 0
0 + b2 = 625 + -49
b2 = 625 + -49

Combine like terms: 625 + -49 = 576
b2 = 576

Simplifying
b2 = 576

Take the square root of each side:
b = {-24, 24}