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Simplifying
8n2 + 8 = 400
Reorder the terms:
8 + 8n2 = 400
Solving
8 + 8n2 = 400
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 + 8n2 = 400 + -8
Combine like terms: 8 + -8 = 0
0 + 8n2 = 400 + -8
8n2 = 400 + -8
Combine like terms: 400 + -8 = 392
8n2 = 392
Divide each side by '8'.
n2 = 49
Simplifying
n2 = 49
Take the square root of each side:
n = {-7, 7}
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