(m^2-m-4)=(m-5)

Solution for (m^2-m-4)=(m-5) equation:

Simplifying
(m2 + -1m + -4) = (m + -5)

Reorder the terms:
(-4 + -1m + m2) = (m + -5)

Remove parenthesis around (-4 + -1m + m2)
-4 + -1m + m2 = (m + -5)

Reorder the terms:
-4 + -1m + m2 = (-5 + m)

Remove parenthesis around (-5 + m)
-4 + -1m + m2 = -5 + m

Solving
-4 + -1m + m2 = -5 + m

Solving for variable 'm'.

Reorder the terms:
-4 + 5 + -1m + -1m + m2 = -5 + m + 5 + -1m

Combine like terms: -4 + 5 = 1
1 + -1m + -1m + m2 = -5 + m + 5 + -1m

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

Reorder the terms:
1 + -2m + m2 = -5 + 5 + m + -1m

Combine like terms: -5 + 5 = 0
1 + -2m + m2 = 0 + m + -1m
1 + -2m + m2 = m + -1m

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

Factor a trinomial.
(1 + -1m)(1 + -1m) = 0

Subproblem 1
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {1, 1}