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Simplifying
2n2 + 5 = 33
Reorder the terms:
5 + 2n2 = 33
Solving
5 + 2n2 = 33
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 2n2 = 33 + -5
Combine like terms: 5 + -5 = 0
0 + 2n2 = 33 + -5
2n2 = 33 + -5
Combine like terms: 33 + -5 = 28
2n2 = 28
Divide each side by '2'.
n2 = 14
Simplifying
n2 = 14
Take the square root of each side:
n = {-3.741657387, 3.741657387}
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