-3m^2+4m-6=

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Solution for -3m^2+4m-6= equation:


Simplifying
-3m2 + 4m + -6 = 0

Reorder the terms:
-6 + 4m + -3m2 = 0

Solving
-6 + 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'.
2 + -1.333333333m + m2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.333333333m + -2 + m2 = 0 + -2

Reorder the terms:
2 + -2 + -1.333333333m + m2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.333333333m + m2 = 0 + -2
-1.333333333m + m2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.333333333m + m2 = -2

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 = -2 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333m + m2 = -2 + 0.4444444442

Combine like terms: -2 + 0.4444444442 = -1.5555555558
0.4444444442 + -1.333333333m + m2 = -1.5555555558

Factor a perfect square on the left side:
(m + -0.6666666665)(m + -0.6666666665) = -1.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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