24n^2+17n+22=0

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Solution for 24n^2+17n+22=0 equation:


Simplifying
24n2 + 17n + 22 = 0

Reorder the terms:
22 + 17n + 24n2 = 0

Solving
22 + 17n + 24n2 = 0

Solving for variable 'n'.

Begin completing the square.  Divide all terms by
24 the coefficient of the squared term: 

Divide each side by '24'.
0.9166666667 + 0.7083333333n + n2 = 0

Move the constant term to the right:

Add '-0.9166666667' to each side of the equation.
0.9166666667 + 0.7083333333n + -0.9166666667 + n2 = 0 + -0.9166666667

Reorder the terms:
0.9166666667 + -0.9166666667 + 0.7083333333n + n2 = 0 + -0.9166666667

Combine like terms: 0.9166666667 + -0.9166666667 = 0.0000000000
0.0000000000 + 0.7083333333n + n2 = 0 + -0.9166666667
0.7083333333n + n2 = 0 + -0.9166666667

Combine like terms: 0 + -0.9166666667 = -0.9166666667
0.7083333333n + n2 = -0.9166666667

The n term is 0.7083333333n.  Take half its coefficient (0.3541666667).
Square it (0.1254340278) and add it to both sides.

Add '0.1254340278' to each side of the equation.
0.7083333333n + 0.1254340278 + n2 = -0.9166666667 + 0.1254340278

Reorder the terms:
0.1254340278 + 0.7083333333n + n2 = -0.9166666667 + 0.1254340278

Combine like terms: -0.9166666667 + 0.1254340278 = -0.7912326389
0.1254340278 + 0.7083333333n + n2 = -0.7912326389

Factor a perfect square on the left side:
(n + 0.3541666667)(n + 0.3541666667) = -0.7912326389

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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