3m-2m(m+4)=8(m-1)

Solution for 3m-2m(m+4)=8(m-1) equation:

Simplifying
3m + -2m(m + 4) = 8(m + -1)

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

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

Reorder the terms:
-5m + -2m2 = 8(-1 + m)
-5m + -2m2 = (-1 * 8 + m * 8)
-5m + -2m2 = (-8 + 8m)

Solving
-5m + -2m2 = -8 + 8m

Solving for variable 'm'.

Reorder the terms:
8 + -5m + -8m + -2m2 = -8 + 8m + 8 + -8m

Combine like terms: -5m + -8m = -13m
8 + -13m + -2m2 = -8 + 8m + 8 + -8m

Reorder the terms:
8 + -13m + -2m2 = -8 + 8 + 8m + -8m

Combine like terms: -8 + 8 = 0
8 + -13m + -2m2 = 0 + 8m + -8m
8 + -13m + -2m2 = 8m + -8m

Combine like terms: 8m + -8m = 0
8 + -13m + -2m2 = 0

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

Divide each side by '-2'.
-4 + 6.5m + m2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 6.5m + 4 + m2 = 0 + 4

Reorder the terms:
-4 + 4 + 6.5m + m2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 6.5m + m2 = 0 + 4
6.5m + m2 = 0 + 4

Combine like terms: 0 + 4 = 4
6.5m + m2 = 4

The m term is 6.5m.  Take half its coefficient (3.25).
Square it (10.5625) and add it to both sides.

Add '10.5625' to each side of the equation.
6.5m + 10.5625 + m2 = 4 + 10.5625

Reorder the terms:
10.5625 + 6.5m + m2 = 4 + 10.5625

Combine like terms: 4 + 10.5625 = 14.5625
10.5625 + 6.5m + m2 = 14.5625

Factor a perfect square on the left side:
(m + 3.25)(m + 3.25) = 14.5625

Calculate the square root of the right side: 3.816084381

Break this problem into two subproblems by setting 
(m + 3.25) equal to 3.816084381 and -3.816084381.

Subproblem 1
m + 3.25 = 3.816084381

Simplifying
m + 3.25 = 3.816084381

Reorder the terms:
3.25 + m = 3.816084381

Solving
3.25 + m = 3.816084381

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3.25' to each side of the equation.
3.25 + -3.25 + m = 3.816084381 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + m = 3.816084381 + -3.25
m = 3.816084381 + -3.25

Combine like terms: 3.816084381 + -3.25 = 0.566084381
m = 0.566084381

Simplifying
m = 0.566084381

Subproblem 2
m + 3.25 = -3.816084381

Simplifying
m + 3.25 = -3.816084381

Reorder the terms:
3.25 + m = -3.816084381

Solving
3.25 + m = -3.816084381

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3.25' to each side of the equation.
3.25 + -3.25 + m = -3.816084381 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + m = -3.816084381 + -3.25
m = -3.816084381 + -3.25

Combine like terms: -3.816084381 + -3.25 = -7.066084381
m = -7.066084381

Simplifying
m = -7.066084381

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {0.566084381, -7.066084381}