m(4m+m)+2(5m+6)=

Solution for m(4m+m)+2(5m+6)= equation:

Simplifying
m(4m + m) + 2(5m + 6) = 0

Combine like terms: 4m + m = 5m
m(5m) + 2(5m + 6) = 0

Remove parenthesis around (5m)
m * 5m + 2(5m + 6) = 0

Reorder the terms for easier multiplication:
5m * m + 2(5m + 6) = 0

Multiply m * m
5m2 + 2(5m + 6) = 0

Reorder the terms:
5m2 + 2(6 + 5m) = 0
5m2 + (6 * 2 + 5m * 2) = 0
5m2 + (12 + 10m) = 0

Reorder the terms:
12 + 10m + 5m2 = 0

Solving
12 + 10m + 5m2 = 0

Solving for variable 'm'.

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
2.4 + 2m + m2 = 0

Move the constant term to the right:

Add '-2.4' to each side of the equation.
2.4 + 2m + -2.4 + m2 = 0 + -2.4

Reorder the terms:
2.4 + -2.4 + 2m + m2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 2m + m2 = 0 + -2.4
2m + m2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
2m + m2 = -2.4

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 = -2.4 + 1

Reorder the terms:
1 + 2m + m2 = -2.4 + 1

Combine like terms: -2.4 + 1 = -1.4
1 + 2m + m2 = -1.4

Factor a perfect square on the left side:
(m + 1)(m + 1) = -1.4

Can't calculate square root of the right side.

The solution to this equation could not be determined.