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Simplifying
(9 + -1b)(9 + b) = 0
Multiply (9 + -1b) * (9 + b)
(9(9 + b) + -1b * (9 + b)) = 0
((9 * 9 + b * 9) + -1b * (9 + b)) = 0
((81 + 9b) + -1b * (9 + b)) = 0
(81 + 9b + (9 * -1b + b * -1b)) = 0
(81 + 9b + (-9b + -1b2)) = 0
Combine like terms: 9b + -9b = 0
(81 + 0 + -1b2) = 0
(81 + -1b2) = 0
Solving
81 + -1b2 = 0
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 + -1b2 = 0 + -81
Combine like terms: 81 + -81 = 0
0 + -1b2 = 0 + -81
-1b2 = 0 + -81
Combine like terms: 0 + -81 = -81
-1b2 = -81
Divide each side by '-1'.
b2 = 81
Simplifying
b2 = 81
Take the square root of each side:
b = {-9, 9}
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