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Simplifying
2n2 + -216 = 8
Reorder the terms:
-216 + 2n2 = 8
Solving
-216 + 2n2 = 8
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '216' to each side of the equation.
-216 + 216 + 2n2 = 8 + 216
Combine like terms: -216 + 216 = 0
0 + 2n2 = 8 + 216
2n2 = 8 + 216
Combine like terms: 8 + 216 = 224
2n2 = 224
Divide each side by '2'.
n2 = 112
Simplifying
n2 = 112
Take the square root of each side:
n = {-10.583005244, 10.583005244}
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