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Simplifying
(6b + -7)(6b + 7) = 0
Reorder the terms:
(-7 + 6b)(6b + 7) = 0
Reorder the terms:
(-7 + 6b)(7 + 6b) = 0
Multiply (-7 + 6b) * (7 + 6b)
(-7(7 + 6b) + 6b * (7 + 6b)) = 0
((7 * -7 + 6b * -7) + 6b * (7 + 6b)) = 0
((-49 + -42b) + 6b * (7 + 6b)) = 0
(-49 + -42b + (7 * 6b + 6b * 6b)) = 0
(-49 + -42b + (42b + 36b2)) = 0
Combine like terms: -42b + 42b = 0
(-49 + 0 + 36b2) = 0
(-49 + 36b2) = 0
Solving
-49 + 36b2 = 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 + 36b2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 36b2 = 0 + 49
36b2 = 0 + 49
Combine like terms: 0 + 49 = 49
36b2 = 49
Divide each side by '36'.
b2 = 1.361111111
Simplifying
b2 = 1.361111111
Take the square root of each side:
b = {-1.166666667, 1.166666667}
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