12m^2+m+35=0

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Solution for 12m^2+m+35=0 equation:


Simplifying
12m2 + m + 35 = 0

Reorder the terms:
35 + m + 12m2 = 0

Solving
35 + m + 12m2 = 0

Solving for variable 'm'.

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

Divide each side by '12'.
2.916666667 + 0.08333333333m + m2 = 0

Move the constant term to the right:

Add '-2.916666667' to each side of the equation.
2.916666667 + 0.08333333333m + -2.916666667 + m2 = 0 + -2.916666667

Reorder the terms:
2.916666667 + -2.916666667 + 0.08333333333m + m2 = 0 + -2.916666667

Combine like terms: 2.916666667 + -2.916666667 = 0.000000000
0.000000000 + 0.08333333333m + m2 = 0 + -2.916666667
0.08333333333m + m2 = 0 + -2.916666667

Combine like terms: 0 + -2.916666667 = -2.916666667
0.08333333333m + m2 = -2.916666667

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.
0.08333333333m + 0.25 + m2 = -2.916666667 + 0.25

Reorder the terms:
0.25 + 0.08333333333m + m2 = -2.916666667 + 0.25

Combine like terms: -2.916666667 + 0.25 = -2.666666667
0.25 + 0.08333333333m + m2 = -2.666666667

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -2.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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