5a^2+12a+30=0

Solution for 5a^2+12a+30=0 equation:

Simplifying
5a2 + 12a + 30 = 0

Reorder the terms:
30 + 12a + 5a2 = 0

Solving
30 + 12a + 5a2 = 0

Solving for variable 'a'.

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

Divide each side by '5'.
6 + 2.4a + a2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 2.4a + -6 + a2 = 0 + -6

Reorder the terms:
6 + -6 + 2.4a + a2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2.4a + a2 = 0 + -6
2.4a + a2 = 0 + -6

Combine like terms: 0 + -6 = -6
2.4a + a2 = -6

The a term is 2.4a.  Take half its coefficient (1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
2.4a + 1.44 + a2 = -6 + 1.44

Reorder the terms:
1.44 + 2.4a + a2 = -6 + 1.44

Combine like terms: -6 + 1.44 = -4.56
1.44 + 2.4a + a2 = -4.56

Factor a perfect square on the left side:
(a + 1.2)(a + 1.2) = -4.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.