3m^2-4m+3=0

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Solution for 3m^2-4m+3=0 equation:


Simplifying
3m2 + -4m + 3 = 0

Reorder the terms:
3 + -4m + 3m2 = 0

Solving
3 + -4m + 3m2 = 0

Solving for variable 'm'.

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

Divide each side by '3'.
1 + -1.333333333m + m2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.333333333m + -1 + m2 = 0 + -1

Reorder the terms:
1 + -1 + -1.333333333m + m2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.333333333m + m2 = 0 + -1
-1.333333333m + m2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.333333333m + m2 = -1

The m term is -1.333333333m.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333m + 0.4444444442 + m2 = -1 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333m + m2 = -1 + 0.4444444442

Combine like terms: -1 + 0.4444444442 = -0.5555555558
0.4444444442 + -1.333333333m + m2 = -0.5555555558

Factor a perfect square on the left side:
(m + -0.6666666665)(m + -0.6666666665) = -0.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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