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Simplifying
4n2 + -7 = 61
Reorder the terms:
-7 + 4n2 = 61
Solving
-7 + 4n2 = 61
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4n2 = 61 + 7
Combine like terms: -7 + 7 = 0
0 + 4n2 = 61 + 7
4n2 = 61 + 7
Combine like terms: 61 + 7 = 68
4n2 = 68
Divide each side by '4'.
n2 = 17
Simplifying
n2 = 17
Take the square root of each side:
n = {-4.123105626, 4.123105626}
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