9m^2-9m+11=3

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Solution for 9m^2-9m+11=3 equation:


Simplifying
9m2 + -9m + 11 = 3

Reorder the terms:
11 + -9m + 9m2 = 3

Solving
11 + -9m + 9m2 = 3

Solving for variable 'm'.

Reorder the terms:
11 + -3 + -9m + 9m2 = 3 + -3

Combine like terms: 11 + -3 = 8
8 + -9m + 9m2 = 3 + -3

Combine like terms: 3 + -3 = 0
8 + -9m + 9m2 = 0

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

Divide each side by '9'.
0.8888888889 + -1m + m2 = 0

Move the constant term to the right:

Add '-0.8888888889' to each side of the equation.
0.8888888889 + -1m + -0.8888888889 + m2 = 0 + -0.8888888889

Reorder the terms:
0.8888888889 + -0.8888888889 + -1m + m2 = 0 + -0.8888888889

Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000
0.0000000000 + -1m + m2 = 0 + -0.8888888889
-1m + m2 = 0 + -0.8888888889

Combine like terms: 0 + -0.8888888889 = -0.8888888889
-1m + m2 = -0.8888888889

The m term is -1m.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1m + 0.25 + m2 = -0.8888888889 + 0.25

Reorder the terms:
0.25 + -1m + m2 = -0.8888888889 + 0.25

Combine like terms: -0.8888888889 + 0.25 = -0.6388888889
0.25 + -1m + m2 = -0.6388888889

Factor a perfect square on the left side:
(m + -0.5)(m + -0.5) = -0.6388888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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