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Simplifying
7n2 + 8 = 351
Reorder the terms:
8 + 7n2 = 351
Solving
8 + 7n2 = 351
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 7n2 = 351 + -8
Combine like terms: 8 + -8 = 0
0 + 7n2 = 351 + -8
7n2 = 351 + -8
Combine like terms: 351 + -8 = 343
7n2 = 343
Divide each side by '7'.
n2 = 49
Simplifying
n2 = 49
Take the square root of each side:
n = {-7, 7}
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