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Simplifying
4n2 + 8 = 17
Reorder the terms:
8 + 4n2 = 17
Solving
8 + 4n2 = 17
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 = 17 + -8
Combine like terms: 8 + -8 = 0
0 + 4n2 = 17 + -8
4n2 = 17 + -8
Combine like terms: 17 + -8 = 9
4n2 = 9
Divide each side by '4'.
n2 = 2.25
Simplifying
n2 = 2.25
Take the square root of each side:
n = {-1.5, 1.5}
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