5m^2+11m+10=0

Solution for 5m^2+11m+10=0 equation:

Simplifying
5m2 + 11m + 10 = 0

Reorder the terms:
10 + 11m + 5m2 = 0

Solving
10 + 11m + 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 + 2.2m + m2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 2.2m + -2 + m2 = 0 + -2

Reorder the terms:
2 + -2 + 2.2m + m2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2.2m + m2 = 0 + -2
2.2m + m2 = 0 + -2

Combine like terms: 0 + -2 = -2
2.2m + m2 = -2

The m term is 2.2m.  Take half its coefficient (1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
2.2m + 1.21 + m2 = -2 + 1.21

Reorder the terms:
1.21 + 2.2m + m2 = -2 + 1.21

Combine like terms: -2 + 1.21 = -0.79
1.21 + 2.2m + m2 = -0.79

Factor a perfect square on the left side:
(m + 1.1)(m + 1.1) = -0.79

Can't calculate square root of the right side.

The solution to this equation could not be determined.