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Simplifying
4n2 + 8 = 45
Reorder the terms:
8 + 4n2 = 45
Solving
8 + 4n2 = 45
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 4n2 = 45 + -8
Combine like terms: 8 + -8 = 0
0 + 4n2 = 45 + -8
4n2 = 45 + -8
Combine like terms: 45 + -8 = 37
4n2 = 37
Divide each side by '4'.
n2 = 9.25
Simplifying
n2 = 9.25
Take the square root of each side:
n = {-3.041381265, 3.041381265}
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