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Simplifying
5n2 + 32 = 77
Reorder the terms:
32 + 5n2 = 77
Solving
32 + 5n2 = 77
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-32' to each side of the equation.
32 + -32 + 5n2 = 77 + -32
Combine like terms: 32 + -32 = 0
0 + 5n2 = 77 + -32
5n2 = 77 + -32
Combine like terms: 77 + -32 = 45
5n2 = 45
Divide each side by '5'.
n2 = 9
Simplifying
n2 = 9
Take the square root of each side:
n = {-3, 3}
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