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Simplifying
2n2 + 1 = 19
Reorder the terms:
1 + 2n2 = 19
Solving
1 + 2n2 = 19
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 2n2 = 19 + -1
Combine like terms: 1 + -1 = 0
0 + 2n2 = 19 + -1
2n2 = 19 + -1
Combine like terms: 19 + -1 = 18
2n2 = 18
Divide each side by '2'.
n2 = 9
Simplifying
n2 = 9
Take the square root of each side:
n = {-3, 3}
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