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Simplifying
(3b + -7)(3b + 7) = 0
Reorder the terms:
(-7 + 3b)(3b + 7) = 0
Reorder the terms:
(-7 + 3b)(7 + 3b) = 0
Multiply (-7 + 3b) * (7 + 3b)
(-7(7 + 3b) + 3b * (7 + 3b)) = 0
((7 * -7 + 3b * -7) + 3b * (7 + 3b)) = 0
((-49 + -21b) + 3b * (7 + 3b)) = 0
(-49 + -21b + (7 * 3b + 3b * 3b)) = 0
(-49 + -21b + (21b + 9b2)) = 0
Combine like terms: -21b + 21b = 0
(-49 + 0 + 9b2) = 0
(-49 + 9b2) = 0
Solving
-49 + 9b2 = 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 + 9b2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 9b2 = 0 + 49
9b2 = 0 + 49
Combine like terms: 0 + 49 = 49
9b2 = 49
Divide each side by '9'.
b2 = 5.444444444
Simplifying
b2 = 5.444444444
Take the square root of each side:
b = {-2.333333333, 2.333333333}
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