16K^2-6K+6=0

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Solution for 16K^2-6K+6=0 equation: 


Simplifying
16K2 + -6K + 6 = 0

Reorder the terms:
6 + -6K + 16K2 = 0

Solving
6 + -6K + 16K2 = 0

Solving for variable 'K'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -3K + 8K2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -3K + 8K2)' equal to zero and attempt to solve:

Simplifying
3 + -3K + 8K2 = 0

Solving
3 + -3K + 8K2 = 0

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

Divide each side by '8'.
0.375 + -0.375K + K2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + -0.375K + -0.375 + K2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + -0.375K + K2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + -0.375K + K2 = 0 + -0.375
-0.375K + K2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
-0.375K + K2 = -0.375

The K term is -0.375K.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375K + 0.03515625 + K2 = -0.375 + 0.03515625

Reorder the terms:
0.03515625 + -0.375K + K2 = -0.375 + 0.03515625

Combine like terms: -0.375 + 0.03515625 = -0.33984375
0.03515625 + -0.375K + K2 = -0.33984375

Factor a perfect square on the left side:
(K + -0.1875)(K + -0.1875) = -0.33984375

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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