5a^2+19a=-30

Solution for 5a^2+19a=-30 equation:

Simplifying
5a2 + 19a = -30

Reorder the terms:
19a + 5a2 = -30

Solving
19a + 5a2 = -30

Solving for variable 'a'.

Reorder the terms:
30 + 19a + 5a2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + 19a + 5a2 = 0

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

Divide each side by '5'.
6 + 3.8a + a2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3.8a + -6 + a2 = 0 + -6

Reorder the terms:
6 + -6 + 3.8a + a2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3.8a + a2 = 0 + -6
3.8a + a2 = 0 + -6

Combine like terms: 0 + -6 = -6
3.8a + a2 = -6

The a term is 3.8a.  Take half its coefficient (1.9).
Square it (3.61) and add it to both sides.

Add '3.61' to each side of the equation.
3.8a + 3.61 + a2 = -6 + 3.61

Reorder the terms:
3.61 + 3.8a + a2 = -6 + 3.61

Combine like terms: -6 + 3.61 = -2.39
3.61 + 3.8a + a2 = -2.39

Factor a perfect square on the left side:
(a + 1.9)(a + 1.9) = -2.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.