18k^2-48k+34=0

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Solution for 18k^2-48k+34=0 equation: 


Simplifying
18k2 + -48k + 34 = 0

Reorder the terms:
34 + -48k + 18k2 = 0

Solving
34 + -48k + 18k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(17 + -24k + 9k2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(17 + -24k + 9k2)' equal to zero and attempt to solve:

Simplifying
17 + -24k + 9k2 = 0

Solving
17 + -24k + 9k2 = 0

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

Divide each side by '9'.
1.888888889 + -2.666666667k + k2 = 0

Move the constant term to the right:

Add '-1.888888889' to each side of the equation.
1.888888889 + -2.666666667k + -1.888888889 + k2 = 0 + -1.888888889

Reorder the terms:
1.888888889 + -1.888888889 + -2.666666667k + k2 = 0 + -1.888888889

Combine like terms: 1.888888889 + -1.888888889 = 0.000000000
0.000000000 + -2.666666667k + k2 = 0 + -1.888888889
-2.666666667k + k2 = 0 + -1.888888889

Combine like terms: 0 + -1.888888889 = -1.888888889
-2.666666667k + k2 = -1.888888889

The k term is -2.666666667k.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667k + 1.777777780 + k2 = -1.888888889 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667k + k2 = -1.888888889 + 1.777777780

Combine like terms: -1.888888889 + 1.777777780 = -0.111111109
1.777777780 + -2.666666667k + k2 = -0.111111109

Factor a perfect square on the left side:
(k + -1.333333334)(k + -1.333333334) = -0.111111109

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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