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Simplifying
4n2 + -9 = 55
Reorder the terms:
-9 + 4n2 = 55
Solving
-9 + 4n2 = 55
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 = 55 + 9
Combine like terms: -9 + 9 = 0
0 + 4n2 = 55 + 9
4n2 = 55 + 9
Combine like terms: 55 + 9 = 64
4n2 = 64
Divide each side by '4'.
n2 = 16
Simplifying
n2 = 16
Take the square root of each side:
n = {-4, 4}
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