m^2-6m-5=-3m+5

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Solution for m^2-6m-5=-3m+5 equation: 


Simplifying
m2 + -6m + -5 = -3m + 5

Reorder the terms:
-5 + -6m + m2 = -3m + 5

Reorder the terms:
-5 + -6m + m2 = 5 + -3m

Solving
-5 + -6m + m2 = 5 + -3m

Solving for variable 'm'.

Reorder the terms:
-5 + -5 + -6m + 3m + m2 = 5 + -3m + -5 + 3m

Combine like terms: -5 + -5 = -10
-10 + -6m + 3m + m2 = 5 + -3m + -5 + 3m

Combine like terms: -6m + 3m = -3m
-10 + -3m + m2 = 5 + -3m + -5 + 3m

Reorder the terms:
-10 + -3m + m2 = 5 + -5 + -3m + 3m

Combine like terms: 5 + -5 = 0
-10 + -3m + m2 = 0 + -3m + 3m
-10 + -3m + m2 = -3m + 3m

Combine like terms: -3m + 3m = 0
-10 + -3m + m2 = 0

Factor a trinomial.
(-2 + -1m)(5 + -1m) = 0


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

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1m = 0 + 2

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

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

Divide each side by '-1'.
m = -2

Simplifying
m = -2

Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

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

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

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {-2, 5}

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