3m+6+m^2+5-1=

Solution for 3m+6+m^2+5-1= equation:

Simplifying
3m + 6 + m2 + 5 + -1 = 0

Reorder the terms:
6 + 5 + -1 + 3m + m2 = 0

Combine like terms: 6 + 5 = 11
11 + -1 + 3m + m2 = 0

Combine like terms: 11 + -1 = 10
10 + 3m + m2 = 0

Solving
10 + 3m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 3m + -10 + m2 = 0 + -10

Reorder the terms:
10 + -10 + 3m + m2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3m + m2 = 0 + -10
3m + m2 = 0 + -10

Combine like terms: 0 + -10 = -10
3m + m2 = -10

The m term is 3m.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3m + 2.25 + m2 = -10 + 2.25

Reorder the terms:
2.25 + 3m + m2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + 3m + m2 = -7.75

Factor a perfect square on the left side:
(m + 1.5)(m + 1.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.