m^2+2m+48=-6

Solution for m^2+2m+48=-6 equation:

Simplifying
m2 + 2m + 48 = -6

Reorder the terms:
48 + 2m + m2 = -6

Solving
48 + 2m + m2 = -6

Solving for variable 'm'.

Reorder the terms:
48 + 6 + 2m + m2 = -6 + 6

Combine like terms: 48 + 6 = 54
54 + 2m + m2 = -6 + 6

Combine like terms: -6 + 6 = 0
54 + 2m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + 2m + -54 + m2 = 0 + -54

Reorder the terms:
54 + -54 + 2m + m2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + 2m + m2 = 0 + -54
2m + m2 = 0 + -54

Combine like terms: 0 + -54 = -54
2m + m2 = -54

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 = -54 + 1

Reorder the terms:
1 + 2m + m2 = -54 + 1

Combine like terms: -54 + 1 = -53
1 + 2m + m2 = -53

Factor a perfect square on the left side:
(m + 1)(m + 1) = -53

Can't calculate square root of the right side.

The solution to this equation could not be determined.