m[m-4]+2[m+1]=

Solution for m[m-4]+2[m+1]= equation:

Simplifying
m[m + -4] + 2[m + 1] = 0

Reorder the terms:
m[-4 + m] + 2[m + 1] = 0
[-4 * m + m * m] + 2[m + 1] = 0
[-4m + m2] + 2[m + 1] = 0

Reorder the terms:
-4m + m2 + 2[1 + m] = 0
-4m + m2 + [1 * 2 + m * 2] = 0
-4m + m2 + [2 + 2m] = 0

Reorder the terms:
2 + -4m + 2m + m2 = 0

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

Solving
2 + -2m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -2 + 1

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

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

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.