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Simplifying
9n2 + -14 = -3
Reorder the terms:
-14 + 9n2 = -3
Solving
-14 + 9n2 = -3
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '14' to each side of the equation.
-14 + 14 + 9n2 = -3 + 14
Combine like terms: -14 + 14 = 0
0 + 9n2 = -3 + 14
9n2 = -3 + 14
Combine like terms: -3 + 14 = 11
9n2 = 11
Divide each side by '9'.
n2 = 1.222222222
Simplifying
n2 = 1.222222222
Take the square root of each side:
n = {-1.105541597, 1.105541597}
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