m^2-4m=5m-8

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Solution for m^2-4m=5m-8 equation: 


Simplifying
m2 + -4m = 5m + -8

Reorder the terms:
-4m + m2 = 5m + -8

Reorder the terms:
-4m + m2 = -8 + 5m

Solving
-4m + m2 = -8 + 5m

Solving for variable 'm'.

Reorder the terms:
8 + -4m + -5m + m2 = -8 + 5m + 8 + -5m

Combine like terms: -4m + -5m = -9m
8 + -9m + m2 = -8 + 5m + 8 + -5m

Reorder the terms:
8 + -9m + m2 = -8 + 8 + 5m + -5m

Combine like terms: -8 + 8 = 0
8 + -9m + m2 = 0 + 5m + -5m
8 + -9m + m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
8 + -9m + m2 = 0

Factor a trinomial.
(1 + -1m)(8 + -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 '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {1, 8}

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