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Simplifying
16n2 + -114 = -14
Reorder the terms:
-114 + 16n2 = -14
Solving
-114 + 16n2 = -14
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '114' to each side of the equation.
-114 + 114 + 16n2 = -14 + 114
Combine like terms: -114 + 114 = 0
0 + 16n2 = -14 + 114
16n2 = -14 + 114
Combine like terms: -14 + 114 = 100
16n2 = 100
Divide each side by '16'.
n2 = 6.25
Simplifying
n2 = 6.25
Take the square root of each side:
n = {-2.5, 2.5}
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