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Simplifying
4n2 + -9 = 23
Reorder the terms:
-9 + 4n2 = 23
Solving
-9 + 4n2 = 23
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4n2 = 23 + 9
Combine like terms: -9 + 9 = 0
0 + 4n2 = 23 + 9
4n2 = 23 + 9
Combine like terms: 23 + 9 = 32
4n2 = 32
Divide each side by '4'.
n2 = 8
Simplifying
n2 = 8
Take the square root of each side:
n = {-2.828427125, 2.828427125}
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