m^2+4m+72=0

Solution for m^2+4m+72=0 equation:

Simplifying
m2 + 4m + 72 = 0

Reorder the terms:
72 + 4m + m2 = 0

Solving
72 + 4m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + 4m + -72 + m2 = 0 + -72

Reorder the terms:
72 + -72 + 4m + m2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 4m + m2 = 0 + -72
4m + m2 = 0 + -72

Combine like terms: 0 + -72 = -72
4m + m2 = -72

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 = -72 + 4

Reorder the terms:
4 + 4m + m2 = -72 + 4

Combine like terms: -72 + 4 = -68
4 + 4m + m2 = -68

Factor a perfect square on the left side:
(m + 2)(m + 2) = -68

Can't calculate square root of the right side.

The solution to this equation could not be determined.