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Simplifying
n2 + 12 + 18 + -11 + 17 + -4n2 = 0
Reorder the terms:
12 + 18 + -11 + 17 + n2 + -4n2 = 0
Combine like terms: 12 + 18 = 30
30 + -11 + 17 + n2 + -4n2 = 0
Combine like terms: 30 + -11 = 19
19 + 17 + n2 + -4n2 = 0
Combine like terms: 19 + 17 = 36
36 + n2 + -4n2 = 0
Combine like terms: n2 + -4n2 = -3n2
36 + -3n2 = 0
Solving
36 + -3n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-36' to each side of the equation.
36 + -36 + -3n2 = 0 + -36
Combine like terms: 36 + -36 = 0
0 + -3n2 = 0 + -36
-3n2 = 0 + -36
Combine like terms: 0 + -36 = -36
-3n2 = -36
Divide each side by '-3'.
n2 = 12
Simplifying
n2 = 12
Take the square root of each side:
n = {-3.464101615, 3.464101615}
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