12m^2-5m+11=0

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Solution for 12m^2-5m+11=0 equation:


Simplifying
12m2 + -5m + 11 = 0

Reorder the terms:
11 + -5m + 12m2 = 0

Solving
11 + -5m + 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'.
0.9166666667 + -0.4166666667m + m2 = 0

Move the constant term to the right:

Add '-0.9166666667' to each side of the equation.
0.9166666667 + -0.4166666667m + -0.9166666667 + m2 = 0 + -0.9166666667

Reorder the terms:
0.9166666667 + -0.9166666667 + -0.4166666667m + m2 = 0 + -0.9166666667

Combine like terms: 0.9166666667 + -0.9166666667 = 0.0000000000
0.0000000000 + -0.4166666667m + m2 = 0 + -0.9166666667
-0.4166666667m + m2 = 0 + -0.9166666667

Combine like terms: 0 + -0.9166666667 = -0.9166666667
-0.4166666667m + m2 = -0.9166666667

The m term is -0.4166666667m.  Take half its coefficient (-0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
-0.4166666667m + 0.04340277781 + m2 = -0.9166666667 + 0.04340277781

Reorder the terms:
0.04340277781 + -0.4166666667m + m2 = -0.9166666667 + 0.04340277781

Combine like terms: -0.9166666667 + 0.04340277781 = -0.87326388889
0.04340277781 + -0.4166666667m + m2 = -0.87326388889

Factor a perfect square on the left side:
(m + -0.2083333334)(m + -0.2083333334) = -0.87326388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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