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Simplifying
16n2 + -3 = 22
Reorder the terms:
-3 + 16n2 = 22
Solving
-3 + 16n2 = 22
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 16n2 = 22 + 3
Combine like terms: -3 + 3 = 0
0 + 16n2 = 22 + 3
16n2 = 22 + 3
Combine like terms: 22 + 3 = 25
16n2 = 25
Divide each side by '16'.
n2 = 1.5625
Simplifying
n2 = 1.5625
Take the square root of each side:
n = {-1.25, 1.25}
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