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Simplifying
b(b + 7) + -7(b + 7) = 0
Reorder the terms:
b(7 + b) + -7(b + 7) = 0
(7 * b + b * b) + -7(b + 7) = 0
(7b + b2) + -7(b + 7) = 0
Reorder the terms:
7b + b2 + -7(7 + b) = 0
7b + b2 + (7 * -7 + b * -7) = 0
7b + b2 + (-49 + -7b) = 0
Reorder the terms:
-49 + 7b + -7b + b2 = 0
Combine like terms: 7b + -7b = 0
-49 + 0 + b2 = 0
-49 + b2 = 0
Solving
-49 + b2 = 0
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 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + b2 = 0 + 49
b2 = 0 + 49
Combine like terms: 0 + 49 = 49
b2 = 49
Simplifying
b2 = 49
Take the square root of each side:
b = {-7, 7}
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