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Simplifying
2n2 + -34 = -2
Reorder the terms:
-34 + 2n2 = -2
Solving
-34 + 2n2 = -2
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '34' to each side of the equation.
-34 + 34 + 2n2 = -2 + 34
Combine like terms: -34 + 34 = 0
0 + 2n2 = -2 + 34
2n2 = -2 + 34
Combine like terms: -2 + 34 = 32
2n2 = 32
Divide each side by '2'.
n2 = 16
Simplifying
n2 = 16
Take the square root of each side:
n = {-4, 4}
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