m(m-3)-2m(m-4)=-(m-4m)+6

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

Simplifying
m(m + -3) + -2m(m + -4) = -1(m + -4m) + 6

Reorder the terms:
m(-3 + m) + -2m(m + -4) = -1(m + -4m) + 6
(-3 * m + m * m) + -2m(m + -4) = -1(m + -4m) + 6
(-3m + m2) + -2m(m + -4) = -1(m + -4m) + 6

Reorder the terms:
-3m + m2 + -2m(-4 + m) = -1(m + -4m) + 6
-3m + m2 + (-4 * -2m + m * -2m) = -1(m + -4m) + 6
-3m + m2 + (8m + -2m2) = -1(m + -4m) + 6

Reorder the terms:
-3m + 8m + m2 + -2m2 = -1(m + -4m) + 6

Combine like terms: -3m + 8m = 5m
5m + m2 + -2m2 = -1(m + -4m) + 6

Combine like terms: m2 + -2m2 = -1m2
5m + -1m2 = -1(m + -4m) + 6

Combine like terms: m + -4m = -3m
5m + -1m2 = -1(-3m) + 6

Remove parenthesis around (-3m)
5m + -1m2 = -1 * -3m + 6

Multiply -1 * -3
5m + -1m2 = 3m + 6

Reorder the terms:
5m + -1m2 = 6 + 3m

Solving
5m + -1m2 = 6 + 3m

Solving for variable 'm'.

Reorder the terms:
-6 + 5m + -3m + -1m2 = 6 + 3m + -6 + -3m

Combine like terms: 5m + -3m = 2m
-6 + 2m + -1m2 = 6 + 3m + -6 + -3m

Reorder the terms:
-6 + 2m + -1m2 = 6 + -6 + 3m + -3m

Combine like terms: 6 + -6 = 0
-6 + 2m + -1m2 = 0 + 3m + -3m
-6 + 2m + -1m2 = 3m + -3m

Combine like terms: 3m + -3m = 0
-6 + 2m + -1m2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
6 + -2m + m2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -2m + -6 + m2 = 0 + -6

Reorder the terms:
6 + -6 + -2m + m2 = 0 + -6

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

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

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 = -6 + 1

Reorder the terms:
1 + -2m + m2 = -6 + 1

Combine like terms: -6 + 1 = -5
1 + -2m + m2 = -5

Factor a perfect square on the left side:
(m + -1)(m + -1) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.