m^2-4m-6=-12

Solution for m^2-4m-6=-12 equation:

Simplifying
m2 + -4m + -6 = -12

Reorder the terms:
-6 + -4m + m2 = -12

Solving
-6 + -4m + m2 = -12

Solving for variable 'm'.

Reorder the terms:
-6 + 12 + -4m + m2 = -12 + 12

Combine like terms: -6 + 12 = 6
6 + -4m + m2 = -12 + 12

Combine like terms: -12 + 12 = 0
6 + -4m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4m + -6 + m2 = 0 + -6

Reorder the terms:
6 + -6 + -4m + m2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4m + m2 = 0 + -6
-4m + m2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4m + m2 = -6

The m term is -4m.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4m + 4 + m2 = -6 + 4

Reorder the terms:
4 + -4m + m2 = -6 + 4

Combine like terms: -6 + 4 = -2
4 + -4m + m2 = -2

Factor a perfect square on the left side:
(m + -2)(m + -2) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.