4k^2+2k+62=0

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Solution for 4k^2+2k+62=0 equation: 


Simplifying
4k2 + 2k + 62 = 0

Reorder the terms:
62 + 2k + 4k2 = 0

Solving
62 + 2k + 4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(31 + k + 2k2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(31 + k + 2k2)' equal to zero and attempt to solve:

Simplifying
31 + k + 2k2 = 0

Solving
31 + k + 2k2 = 0

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

Divide each side by '2'.
15.5 + 0.5k + k2 = 0

Move the constant term to the right:

Add '-15.5' to each side of the equation.
15.5 + 0.5k + -15.5 + k2 = 0 + -15.5

Reorder the terms:
15.5 + -15.5 + 0.5k + k2 = 0 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + 0.5k + k2 = 0 + -15.5
0.5k + k2 = 0 + -15.5

Combine like terms: 0 + -15.5 = -15.5
0.5k + k2 = -15.5

The k term is k.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.5k + 0.25 + k2 = -15.5 + 0.25

Reorder the terms:
0.25 + 0.5k + k2 = -15.5 + 0.25

Combine like terms: -15.5 + 0.25 = -15.25
0.25 + 0.5k + k2 = -15.25

Factor a perfect square on the left side:
(k + 0.5)(k + 0.5) = -15.25

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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