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Simplifying
5n2 + -7 = 173
Reorder the terms:
-7 + 5n2 = 173
Solving
-7 + 5n2 = 173
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 5n2 = 173 + 7
Combine like terms: -7 + 7 = 0
0 + 5n2 = 173 + 7
5n2 = 173 + 7
Combine like terms: 173 + 7 = 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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