16k^2-4k+88=0

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Solution for 16k^2-4k+88=0 equation: 


Simplifying
16k2 + -4k + 88 = 0

Reorder the terms:
88 + -4k + 16k2 = 0

Solving
88 + -4k + 16k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(22 + -1k + 4k2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(22 + -1k + 4k2)' equal to zero and attempt to solve:

Simplifying
22 + -1k + 4k2 = 0

Solving
22 + -1k + 4k2 = 0

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

Divide each side by '4'.
5.5 + -0.25k + k2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -0.25k + -5.5 + k2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -0.25k + k2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -0.25k + k2 = 0 + -5.5
-0.25k + k2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-0.25k + k2 = -5.5

The k term is -0.25k.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25k + 0.015625 + k2 = -5.5 + 0.015625

Reorder the terms:
0.015625 + -0.25k + k2 = -5.5 + 0.015625

Combine like terms: -5.5 + 0.015625 = -5.484375
0.015625 + -0.25k + k2 = -5.484375

Factor a perfect square on the left side:
(k + -0.125)(k + -0.125) = -5.484375

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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