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

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

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

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

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

Solving
-8m + 4m2 = -6 + -6m

Solving for variable 'm'.

Reorder the terms:
6 + -8m + 6m + 4m2 = -6 + -6m + 6 + 6m

Combine like terms: -8m + 6m = -2m
6 + -2m + 4m2 = -6 + -6m + 6 + 6m

Reorder the terms:
6 + -2m + 4m2 = -6 + 6 + -6m + 6m

Combine like terms: -6 + 6 = 0
6 + -2m + 4m2 = 0 + -6m + 6m
6 + -2m + 4m2 = -6m + 6m

Combine like terms: -6m + 6m = 0
6 + -2m + 4m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -1m + 2m2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1m + 2m2)' equal to zero and attempt to solve:

Simplifying
3 + -1m + 2m2 = 0

Solving
3 + -1m + 2m2 = 0

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

Divide each side by '2'.
1.5 + -0.5m + m2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.5m + -1.5 + m2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.5m + m2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.5m + m2 = 0 + -1.5
-0.5m + m2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.5m + m2 = -1.5

The m term is -0.5m.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5m + 0.0625 + m2 = -1.5 + 0.0625

Reorder the terms:
0.0625 + -0.5m + m2 = -1.5 + 0.0625

Combine like terms: -1.5 + 0.0625 = -1.4375
0.0625 + -0.5m + m2 = -1.4375

Factor a perfect square on the left side:
(m + -0.25)(m + -0.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.