6m^2=13m-28

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Solution for 6m^2=13m-28 equation: 


Simplifying
6m2 = 13m + -28

Reorder the terms:
6m2 = -28 + 13m

Solving
6m2 = -28 + 13m

Solving for variable 'm'.

Reorder the terms:
28 + -13m + 6m2 = -28 + 13m + 28 + -13m

Reorder the terms:
28 + -13m + 6m2 = -28 + 28 + 13m + -13m

Combine like terms: -28 + 28 = 0
28 + -13m + 6m2 = 0 + 13m + -13m
28 + -13m + 6m2 = 13m + -13m

Combine like terms: 13m + -13m = 0
28 + -13m + 6m2 = 0

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

Divide each side by '6'.
4.666666667 + -2.166666667m + m2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -2.166666667m + -4.666666667 + m2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -2.166666667m + m2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -2.166666667m + m2 = 0 + -4.666666667
-2.166666667m + m2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-2.166666667m + m2 = -4.666666667

The m term is -2.166666667m.  Take half its coefficient (-1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
-2.166666667m + 1.173611113 + m2 = -4.666666667 + 1.173611113

Reorder the terms:
1.173611113 + -2.166666667m + m2 = -4.666666667 + 1.173611113

Combine like terms: -4.666666667 + 1.173611113 = -3.493055554
1.173611113 + -2.166666667m + m2 = -3.493055554

Factor a perfect square on the left side:
(m + -1.083333334)(m + -1.083333334) = -3.493055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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