m^2-7m-6=-6

Solution for m^2-7m-6=-6 equation:

Simplifying
m2 + -7m + -6 = -6

Reorder the terms:
-6 + -7m + m2 = -6

Add '6' to each side of the equation.
-6 + -7m + 6 + m2 = -6 + 6

Reorder the terms:
-6 + 6 + -7m + m2 = -6 + 6

Combine like terms: -6 + 6 = 0
0 + -7m + m2 = -6 + 6
-7m + m2 = -6 + 6

Combine like terms: -6 + 6 = 0
-7m + m2 = 0

Solving
-7m + m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-7 + m) = 0

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(-7 + m)' equal to zero and attempt to solve:

Simplifying
-7 + m = 0

Solving
-7 + m = 0

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

Add '7' to each side of the equation.
-7 + 7 + m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + m = 0 + 7
m = 0 + 7

Combine like terms: 0 + 7 = 7
m = 7

Simplifying
m = 7
Solution
m = {0, 7}