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Simplifying
9n2 + -4 = 419
Reorder the terms:
-4 + 9n2 = 419
Solving
-4 + 9n2 = 419
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 9n2 = 419 + 4
Combine like terms: -4 + 4 = 0
0 + 9n2 = 419 + 4
9n2 = 419 + 4
Combine like terms: 419 + 4 = 423
9n2 = 423
Divide each side by '9'.
n2 = 47
Simplifying
n2 = 47
Take the square root of each side:
n = {-6.8556546, 6.8556546}
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