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Simplifying
5n2 + 8 = 13
Reorder the terms:
8 + 5n2 = 13
Solving
8 + 5n2 = 13
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 5n2 = 13 + -8
Combine like terms: 8 + -8 = 0
0 + 5n2 = 13 + -8
5n2 = 13 + -8
Combine like terms: 13 + -8 = 5
5n2 = 5
Divide each side by '5'.
n2 = 1
Simplifying
n2 = 1
Take the square root of each side:
n = {-1, 1}
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