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Answer:
n = ±i sqrt(5)
Step-by-step explanation:
2n^2-6=-16
Add 6 to each side
2n^2-6+6=-16+6
2n^2=-10
Divide by 2
2/2n^2 = -10/2
n^2 = -5
Take the square root of each side
sqrt(n^2) = sqrt(-5)
n = sqrt(-1) sqrt(5)
n = ±i sqrt(5)