x^2-mx-6=0

Solution for x^2-mx-6=0 equation:

Simplifying
x2 + -1mx + -6 = 0

Reorder the terms:
-6 + -1mx + x2 = 0

Solving
-6 + -1mx + x2 = 0

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + -1mx + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + -1mx + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1mx + x2 = 0 + 6
-1mx + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
-1mx + x2 = 6

Add '-1x2' to each side of the equation.
-1mx + x2 + -1x2 = 6 + -1x2

Combine like terms: x2 + -1x2 = 0
-1mx + 0 = 6 + -1x2
-1mx = 6 + -1x2

Divide each side by '-1x'.
m = -6x-1 + x

Simplifying
m = -6x-1 + x