3m^2=6m-5

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Solution for 3m^2=6m-5 equation:


Simplifying
3m2 = 6m + -5

Reorder the terms:
3m2 = -5 + 6m

Solving
3m2 = -5 + 6m

Solving for variable 'm'.

Reorder the terms:
5 + -6m + 3m2 = -5 + 6m + 5 + -6m

Reorder the terms:
5 + -6m + 3m2 = -5 + 5 + 6m + -6m

Combine like terms: -5 + 5 = 0
5 + -6m + 3m2 = 0 + 6m + -6m
5 + -6m + 3m2 = 6m + -6m

Combine like terms: 6m + -6m = 0
5 + -6m + 3m2 = 0

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

Divide each side by '3'.
1.666666667 + -2m + m2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -2m + -1.666666667 + m2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -2m + m2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -2m + m2 = 0 + -1.666666667
-2m + m2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-2m + m2 = -1.666666667

The m term is -2m.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2m + 1 + m2 = -1.666666667 + 1

Reorder the terms:
1 + -2m + m2 = -1.666666667 + 1

Combine like terms: -1.666666667 + 1 = -0.666666667
1 + -2m + m2 = -0.666666667

Factor a perfect square on the left side:
(m + -1)(m + -1) = -0.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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