6m^2+2m+4=

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Solution for 6m^2+2m+4= equation: 


Simplifying
6m2 + 2m + 4 = 0

Reorder the terms:
4 + 2m + 6m2 = 0

Solving
4 + 2m + 6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + m + 3m2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + m + 3m2)' equal to zero and attempt to solve:

Simplifying
2 + m + 3m2 = 0

Solving
2 + m + 3m2 = 0

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

Divide each side by '3'.
0.6666666667 + 0.3333333333m + m2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.3333333333m + -0.6666666667 + m2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.3333333333m + m2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.3333333333m + m2 = 0 + -0.6666666667
0.3333333333m + m2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.3333333333m + m2 = -0.6666666667

The m term is m.  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.
0.3333333333m + 0.25 + m2 = -0.6666666667 + 0.25

Reorder the terms:
0.25 + 0.3333333333m + m2 = -0.6666666667 + 0.25

Combine like terms: -0.6666666667 + 0.25 = -0.4166666667
0.25 + 0.3333333333m + m2 = -0.4166666667

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -0.4166666667

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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