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Simplifying
5n2 + -6 = 174
Reorder the terms:
-6 + 5n2 = 174
Solving
-6 + 5n2 = 174
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 + 5n2 = 174 + 6
Combine like terms: -6 + 6 = 0
0 + 5n2 = 174 + 6
5n2 = 174 + 6
Combine like terms: 174 + 6 = 180
5n2 = 180
Divide each side by '5'.
n2 = 36
Simplifying
n2 = 36
Take the square root of each side:
n = {-6, 6}
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