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Simplifying
5n2 + 19 + -68 = -2
Reorder the terms:
19 + -68 + 5n2 = -2
Combine like terms: 19 + -68 = -49
-49 + 5n2 = -2
Solving
-49 + 5n2 = -2
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 5n2 = -2 + 49
Combine like terms: -49 + 49 = 0
0 + 5n2 = -2 + 49
5n2 = -2 + 49
Combine like terms: -2 + 49 = 47
5n2 = 47
Divide each side by '5'.
n2 = 9.4
Simplifying
n2 = 9.4
Take the square root of each side:
n = {-3.065941943, 3.065941943}
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