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Simplifying
2n2 + 9 = 85
Reorder the terms:
9 + 2n2 = 85
Solving
9 + 2n2 = 85
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 2n2 = 85 + -9
Combine like terms: 9 + -9 = 0
0 + 2n2 = 85 + -9
2n2 = 85 + -9
Combine like terms: 85 + -9 = 76
2n2 = 76
Divide each side by '2'.
n2 = 38
Simplifying
n2 = 38
Take the square root of each side:
n = {-6.164414003, 6.164414003}
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