4m-13=6m^2

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Solution for 4m-13=6m^2 equation: 


Simplifying
4m + -13 = 6m2

Reorder the terms:
-13 + 4m = 6m2

Solving
-13 + 4m = 6m2

Solving for variable 'm'.

Combine like terms: 6m2 + -6m2 = 0
-13 + 4m + -6m2 = 0

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

Divide each side by '-6'.
2.166666667 + -0.6666666667m + m2 = 0

Move the constant term to the right:

Add '-2.166666667' to each side of the equation.
2.166666667 + -0.6666666667m + -2.166666667 + m2 = 0 + -2.166666667

Reorder the terms:
2.166666667 + -2.166666667 + -0.6666666667m + m2 = 0 + -2.166666667

Combine like terms: 2.166666667 + -2.166666667 = 0.000000000
0.000000000 + -0.6666666667m + m2 = 0 + -2.166666667
-0.6666666667m + m2 = 0 + -2.166666667

Combine like terms: 0 + -2.166666667 = -2.166666667
-0.6666666667m + m2 = -2.166666667

The m term is -0.6666666667m.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667m + 0.1111111112 + m2 = -2.166666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667m + m2 = -2.166666667 + 0.1111111112

Combine like terms: -2.166666667 + 0.1111111112 = -2.0555555558
0.1111111112 + -0.6666666667m + m2 = -2.0555555558

Factor a perfect square on the left side:
(m + -0.3333333334)(m + -0.3333333334) = -2.0555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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