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Simplifying
8n2 + 7 = 167
Reorder the terms:
7 + 8n2 = 167
Solving
7 + 8n2 = 167
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 8n2 = 167 + -7
Combine like terms: 7 + -7 = 0
0 + 8n2 = 167 + -7
8n2 = 167 + -7
Combine like terms: 167 + -7 = 160
8n2 = 160
Divide each side by '8'.
n2 = 20
Simplifying
n2 = 20
Take the square root of each side:
n = {-4.472135955, 4.472135955}
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