((9)(9))+((b)(b))=((15)(15))

Solution for ((9)(9))+((b)(b))=((15)(15)) equation:

Simplifying
((9)(9)) + ((b)(b)) = ((15)(15))

Multiply 9 * 9
(81) + ((b)(b)) = ((15)(15))
81 + ((b)(b)) = ((15)(15))

Multiply b * b
81 + (b2) = ((15)(15))
81 + b2 = ((15)(15))

Multiply 15 * 15
81 + b2 = (225)
81 + b2 = 225

Solving
81 + b2 = 225

Solving for variable 'b'.

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

Add '-81' to each side of the equation.
81 + -81 + b2 = 225 + -81

Combine like terms: 81 + -81 = 0
0 + b2 = 225 + -81
b2 = 225 + -81

Combine like terms: 225 + -81 = 144
b2 = 144

Simplifying
b2 = 144

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