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Simplifying
(12b + -5)(12b + 5) = 0
Reorder the terms:
(-5 + 12b)(12b + 5) = 0
Reorder the terms:
(-5 + 12b)(5 + 12b) = 0
Multiply (-5 + 12b) * (5 + 12b)
(-5(5 + 12b) + 12b * (5 + 12b)) = 0
((5 * -5 + 12b * -5) + 12b * (5 + 12b)) = 0
((-25 + -60b) + 12b * (5 + 12b)) = 0
(-25 + -60b + (5 * 12b + 12b * 12b)) = 0
(-25 + -60b + (60b + 144b2)) = 0
Combine like terms: -60b + 60b = 0
(-25 + 0 + 144b2) = 0
(-25 + 144b2) = 0
Solving
-25 + 144b2 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 144b2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 144b2 = 0 + 25
144b2 = 0 + 25
Combine like terms: 0 + 25 = 25
144b2 = 25
Divide each side by '144'.
b2 = 0.1736111111
Simplifying
b2 = 0.1736111111
Take the square root of each side:
b = {-0.416666667, 0.416666667}
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