-3=3m^2-2m+6

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


Simplifying
-3 = 3m2 + -2m + 6

Reorder the terms:
-3 = 6 + -2m + 3m2

Solving
-3 = 6 + -2m + 3m2

Solving for variable 'm'.

Combine like terms: -3 + -6 = -9
-9 + 2m + -3m2 = 6 + -2m + 3m2 + -6 + 2m + -3m2

Reorder the terms:
-9 + 2m + -3m2 = 6 + -6 + -2m + 2m + 3m2 + -3m2

Combine like terms: 6 + -6 = 0
-9 + 2m + -3m2 = 0 + -2m + 2m + 3m2 + -3m2
-9 + 2m + -3m2 = -2m + 2m + 3m2 + -3m2

Combine like terms: -2m + 2m = 0
-9 + 2m + -3m2 = 0 + 3m2 + -3m2
-9 + 2m + -3m2 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
-9 + 2m + -3m2 = 0

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

Divide each side by '-3'.
3 + -0.6666666667m + m2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.6666666667m + -3 + m2 = 0 + -3

Reorder the terms:
3 + -3 + -0.6666666667m + m2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.6666666667m + m2 = 0 + -3
-0.6666666667m + m2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.6666666667m + m2 = -3

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 = -3 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667m + m2 = -3 + 0.1111111112

Combine like terms: -3 + 0.1111111112 = -2.8888888888
0.1111111112 + -0.6666666667m + m2 = -2.8888888888

Factor a perfect square on the left side:
(m + -0.3333333334)(m + -0.3333333334) = -2.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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