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Simplifying
3n2 + -13 + -16 = 0
Reorder the terms:
-13 + -16 + 3n2 = 0
Combine like terms: -13 + -16 = -29
-29 + 3n2 = 0
Solving
-29 + 3n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '29' to each side of the equation.
-29 + 29 + 3n2 = 0 + 29
Combine like terms: -29 + 29 = 0
0 + 3n2 = 0 + 29
3n2 = 0 + 29
Combine like terms: 0 + 29 = 29
3n2 = 29
Divide each side by '3'.
n2 = 9.666666667
Simplifying
n2 = 9.666666667
Take the square root of each side:
n = {-3.109126351, 3.109126351}
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