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Simplifying
8n2 + 7 = 159
Reorder the terms:
7 + 8n2 = 159
Solving
7 + 8n2 = 159
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 = 159 + -7
Combine like terms: 7 + -7 = 0
0 + 8n2 = 159 + -7
8n2 = 159 + -7
Combine like terms: 159 + -7 = 152
8n2 = 152
Divide each side by '8'.
n2 = 19
Simplifying
n2 = 19
Take the square root of each side:
n = {-4.358898944, 4.358898944}
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