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Simplifying
(3n2 + 1) + (8n2 + -8) = 0
Reorder the terms:
(1 + 3n2) + (8n2 + -8) = 0
Remove parenthesis around (1 + 3n2)
1 + 3n2 + (8n2 + -8) = 0
Reorder the terms:
1 + 3n2 + (-8 + 8n2) = 0
Remove parenthesis around (-8 + 8n2)
1 + 3n2 + -8 + 8n2 = 0
Reorder the terms:
1 + -8 + 3n2 + 8n2 = 0
Combine like terms: 1 + -8 = -7
-7 + 3n2 + 8n2 = 0
Combine like terms: 3n2 + 8n2 = 11n2
-7 + 11n2 = 0
Solving
-7 + 11n2 = 0
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 + 11n2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 11n2 = 0 + 7
11n2 = 0 + 7
Combine like terms: 0 + 7 = 7
11n2 = 7
Divide each side by '11'.
n2 = 0.6363636364
Simplifying
n2 = 0.6363636364
Take the square root of each side:
n = {-0.797724035, 0.797724035}
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