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Simplifying
-2n2 + 128 = 0
Reorder the terms:
128 + -2n2 = 0
Solving
128 + -2n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-128' to each side of the equation.
128 + -128 + -2n2 = 0 + -128
Combine like terms: 128 + -128 = 0
0 + -2n2 = 0 + -128
-2n2 = 0 + -128
Combine like terms: 0 + -128 = -128
-2n2 = -128
Divide each side by '-2'.
n2 = 64
Simplifying
n2 = 64
Take the square root of each side:
n = {-8, 8}
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