5n^2-9=36

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Solution for 5n^2-9=36 equation: 


Simplifying
5n2 + -9 = 36

Reorder the terms:
-9 + 5n2 = 36

Solving
-9 + 5n2 = 36

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 + 5n2 = 36 + 9

Combine like terms: -9 + 9 = 0
0 + 5n2 = 36 + 9
5n2 = 36 + 9

Combine like terms: 36 + 9 = 45
5n2 = 45

Divide each side by '5'.
n2 = 9

Simplifying
n2 = 9

Take the square root of each side:
n = {-3, 3}

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