3m^2+m+4=0

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Solution for 3m^2+m+4=0 equation:


Simplifying
3m2 + m + 4 = 0

Reorder the terms:
4 + m + 3m2 = 0

Solving
4 + m + 3m2 = 0

Solving for variable 'm'.

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

Divide each side by '3'.
1.333333333 + 0.3333333333m + m2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 0.3333333333m + -1.333333333 + m2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 0.3333333333m + m2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 0.3333333333m + m2 = 0 + -1.333333333
0.3333333333m + m2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
0.3333333333m + m2 = -1.333333333

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 = -1.333333333 + 0.25

Reorder the terms:
0.25 + 0.3333333333m + m2 = -1.333333333 + 0.25

Combine like terms: -1.333333333 + 0.25 = -1.083333333
0.25 + 0.3333333333m + m2 = -1.083333333

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -1.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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