2m^2+4m+12=0

Solution for 2m^2+4m+12=0 equation:

Simplifying
2m2 + 4m + 12 = 0

Reorder the terms:
12 + 4m + 2m2 = 0

Solving
12 + 4m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 2m + m2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + 2m + m2)' equal to zero and attempt to solve:

Simplifying
6 + 2m + m2 = 0

Solving
6 + 2m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 2m + -6 + m2 = 0 + -6

Reorder the terms:
6 + -6 + 2m + m2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2m + m2 = 0 + -6
2m + m2 = 0 + -6

Combine like terms: 0 + -6 = -6
2m + m2 = -6

The m term is 2m.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2m + 1 + m2 = -6 + 1

Reorder the terms:
1 + 2m + m2 = -6 + 1

Combine like terms: -6 + 1 = -5
1 + 2m + m2 = -5

Factor a perfect square on the left side:
(m + 1)(m + 1) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.