3a^2+5a+18=

Solution for 3a^2+5a+18= equation:

Simplifying
3a2 + 5a + 18 = 0

Reorder the terms:
18 + 5a + 3a2 = 0

Solving
18 + 5a + 3a2 = 0

Solving for variable 'a'.

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

Divide each side by '3'.
6 + 1.666666667a + a2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 1.666666667a + -6 + a2 = 0 + -6

Reorder the terms:
6 + -6 + 1.666666667a + a2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1.666666667a + a2 = 0 + -6
1.666666667a + a2 = 0 + -6

Combine like terms: 0 + -6 = -6
1.666666667a + a2 = -6

The a term is 1.666666667a.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667a + 0.6944444447 + a2 = -6 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667a + a2 = -6 + 0.6944444447

Combine like terms: -6 + 0.6944444447 = -5.3055555553
0.6944444447 + 1.666666667a + a2 = -5.3055555553

Factor a perfect square on the left side:
(a + 0.8333333335)(a + 0.8333333335) = -5.3055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.