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Simplifying
4n2 + -6 = 30
Reorder the terms:
-6 + 4n2 = 30
Solving
-6 + 4n2 = 30
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 4n2 = 30 + 6
Combine like terms: -6 + 6 = 0
0 + 4n2 = 30 + 6
4n2 = 30 + 6
Combine like terms: 30 + 6 = 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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