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Simplifying
4n2 + 1 = 390
Reorder the terms:
1 + 4n2 = 390
Solving
1 + 4n2 = 390
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 4n2 = 390 + -1
Combine like terms: 1 + -1 = 0
0 + 4n2 = 390 + -1
4n2 = 390 + -1
Combine like terms: 390 + -1 = 389
4n2 = 389
Divide each side by '4'.
n2 = 97.25
Simplifying
n2 = 97.25
Take the square root of each side:
n = {-9.861541462, 9.861541462}
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