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Simplifying
9b2 + -16 = 0
Reorder the terms:
-16 + 9b2 = 0
Solving
-16 + 9b2 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 9b2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 9b2 = 0 + 16
9b2 = 0 + 16
Combine like terms: 0 + 16 = 16
9b2 = 16
Divide each side by '9'.
b2 = 1.777777778
Simplifying
b2 = 1.777777778
Take the square root of each side:
b = {-1.333333333, 1.333333333}
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