((10)(10))+((b)(b))=((26)(26))

Solution for ((10)(10))+((b)(b))=((26)(26)) equation:

Simplifying
((10)(10)) + ((b)(b)) = ((26)(26))

Multiply 10 * 10
(100) + ((b)(b)) = ((26)(26))
100 + ((b)(b)) = ((26)(26))

Multiply b * b
100 + (b2) = ((26)(26))
100 + b2 = ((26)(26))

Multiply 26 * 26
100 + b2 = (676)
100 + b2 = 676

Solving
100 + b2 = 676

Solving for variable 'b'.

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

Add '-100' to each side of the equation.
100 + -100 + b2 = 676 + -100

Combine like terms: 100 + -100 = 0
0 + b2 = 676 + -100
b2 = 676 + -100

Combine like terms: 676 + -100 = 576
b2 = 576

Simplifying
b2 = 576

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