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Simplifying
8n2 + -2 = 286
Reorder the terms:
-2 + 8n2 = 286
Solving
-2 + 8n2 = 286
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 8n2 = 286 + 2
Combine like terms: -2 + 2 = 0
0 + 8n2 = 286 + 2
8n2 = 286 + 2
Combine like terms: 286 + 2 = 288
8n2 = 288
Divide each side by '8'.
n2 = 36
Simplifying
n2 = 36
Take the square root of each side:
n = {-6, 6}
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