4n^2-9=16

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Solution for 4n^2-9=16 equation: 


Simplifying
4n2 + -9 = 16

Reorder the terms:
-9 + 4n2 = 16

Solving
-9 + 4n2 = 16

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 = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 4n2 = 16 + 9
4n2 = 16 + 9

Combine like terms: 16 + 9 = 25
4n2 = 25

Divide each side by '4'.
n2 = 6.25

Simplifying
n2 = 6.25

Take the square root of each side:
n = {-2.5, 2.5}

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