5m^2+13m+15=

Solution for 5m^2+13m+15= equation:

Simplifying
5m2 + 13m + 15 = 0

Reorder the terms:
15 + 13m + 5m2 = 0

Solving
15 + 13m + 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'.
3 + 2.6m + m2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2.6m + -3 + m2 = 0 + -3

Reorder the terms:
3 + -3 + 2.6m + m2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2.6m + m2 = 0 + -3
2.6m + m2 = 0 + -3

Combine like terms: 0 + -3 = -3
2.6m + m2 = -3

The m term is 2.6m.  Take half its coefficient (1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
2.6m + 1.69 + m2 = -3 + 1.69

Reorder the terms:
1.69 + 2.6m + m2 = -3 + 1.69

Combine like terms: -3 + 1.69 = -1.31
1.69 + 2.6m + m2 = -1.31

Factor a perfect square on the left side:
(m + 1.3)(m + 1.3) = -1.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.