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Simplifying
4n2 + -17 = 19
Reorder the terms:
-17 + 4n2 = 19
Solving
-17 + 4n2 = 19
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '17' to each side of the equation.
-17 + 17 + 4n2 = 19 + 17
Combine like terms: -17 + 17 = 0
0 + 4n2 = 19 + 17
4n2 = 19 + 17
Combine like terms: 19 + 17 = 36
4n2 = 36
Divide each side by '4'.
n2 = 9
Simplifying
n2 = 9
Take the square root of each side:
n = {-3, 3}
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