m^2-4m-67=10

Solution for m^2-4m-67=10 equation:

Simplifying
m2 + -4m + -67 = 10

Reorder the terms:
-67 + -4m + m2 = 10

Solving
-67 + -4m + m2 = 10

Solving for variable 'm'.

Reorder the terms:
-67 + -10 + -4m + m2 = 10 + -10

Combine like terms: -67 + -10 = -77
-77 + -4m + m2 = 10 + -10

Combine like terms: 10 + -10 = 0
-77 + -4m + m2 = 0

Factor a trinomial.
(-7 + -1m)(11 + -1m) = 0

Subproblem 1
Set the factor '(-7 + -1m)' equal to zero and attempt to solve:

Simplifying
-7 + -1m = 0

Solving
-7 + -1m = 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 + -1m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1m = 0 + 7
-1m = 0 + 7

Combine like terms: 0 + 7 = 7
-1m = 7

Divide each side by '-1'.
m = -7

Simplifying
m = -7
Subproblem 2
Set the factor '(11 + -1m)' equal to zero and attempt to solve:

Simplifying
11 + -1m = 0

Solving
11 + -1m = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1m = 0 + -11
-1m = 0 + -11

Combine like terms: 0 + -11 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11
Solution
m = {-7, 11}