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Simplifying
-2n2 + 10 = -6
Reorder the terms:
10 + -2n2 = -6
Solving
10 + -2n2 = -6
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + -2n2 = -6 + -10
Combine like terms: 10 + -10 = 0
0 + -2n2 = -6 + -10
-2n2 = -6 + -10
Combine like terms: -6 + -10 = -16
-2n2 = -16
Divide each side by '-2'.
n2 = 8
Simplifying
n2 = 8
Take the square root of each side:
n = {-2.828427125, 2.828427125}
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