6m^2-2m=-5

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Solution for 6m^2-2m=-5 equation: 


Simplifying
6m2 + -2m = -5

Reorder the terms:
-2m + 6m2 = -5

Solving
-2m + 6m2 = -5

Solving for variable 'm'.

Reorder the terms:
5 + -2m + 6m2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -2m + 6m2 = 0

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

Divide each side by '6'.
0.8333333333 + -0.3333333333m + m2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -0.3333333333m + -0.8333333333 + m2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -0.3333333333m + m2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -0.3333333333m + m2 = 0 + -0.8333333333
-0.3333333333m + m2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-0.3333333333m + m2 = -0.8333333333

The m term is -0.3333333333m.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333m + 0.02777777779 + m2 = -0.8333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333m + m2 = -0.8333333333 + 0.02777777779

Combine like terms: -0.8333333333 + 0.02777777779 = -0.80555555551
0.02777777779 + -0.3333333333m + m2 = -0.80555555551

Factor a perfect square on the left side:
(m + -0.1666666667)(m + -0.1666666667) = -0.80555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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