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Simplifying
4n2 + 1 = 157
Reorder the terms:
1 + 4n2 = 157
Solving
1 + 4n2 = 157
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 = 157 + -1
Combine like terms: 1 + -1 = 0
0 + 4n2 = 157 + -1
4n2 = 157 + -1
Combine like terms: 157 + -1 = 156
4n2 = 156
Divide each side by '4'.
n2 = 39
Simplifying
n2 = 39
Take the square root of each side:
n = {-6.244997998, 6.244997998}
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