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Simplifying
9n2 + -1 = 80
Reorder the terms:
-1 + 9n2 = 80
Solving
-1 + 9n2 = 80
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 9n2 = 80 + 1
Combine like terms: -1 + 1 = 0
0 + 9n2 = 80 + 1
9n2 = 80 + 1
Combine like terms: 80 + 1 = 81
9n2 = 81
Divide each side by '9'.
n2 = 9
Simplifying
n2 = 9
Take the square root of each side:
n = {-3, 3}
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