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Simplifying
5n2 + 1 = 40
Reorder the terms:
1 + 5n2 = 40
Solving
1 + 5n2 = 40
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 + 5n2 = 40 + -1
Combine like terms: 1 + -1 = 0
0 + 5n2 = 40 + -1
5n2 = 40 + -1
Combine like terms: 40 + -1 = 39
5n2 = 39
Divide each side by '5'.
n2 = 7.8
Simplifying
n2 = 7.8
Take the square root of each side:
n = {-2.792848009, 2.792848009}
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