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Simplifying
6n2 + 14 = 614
Reorder the terms:
14 + 6n2 = 614
Solving
14 + 6n2 = 614
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + 6n2 = 614 + -14
Combine like terms: 14 + -14 = 0
0 + 6n2 = 614 + -14
6n2 = 614 + -14
Combine like terms: 614 + -14 = 600
6n2 = 600
Divide each side by '6'.
n2 = 100
Simplifying
n2 = 100
Take the square root of each side:
n = {-10, 10}
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