(1.8x*1.8x)+24x+45=0

Solution for (1.8x*1.8x)+24x+45=0 equation:

Simplifying
(1.8x * 1.8x) + 24x + 45 = 0

Reorder the terms for easier multiplication:
(1.8 * 1.8x * x) + 24x + 45 = 0

Multiply 1.8 * 1.8
(3.24x * x) + 24x + 45 = 0

Multiply x * x
(3.24x2) + 24x + 45 = 0

Reorder the terms:
45 + 24x + (3.24x2) = 0

Solving
45 + 24x + (3.24x2) = 0

Solving for variable 'x'.

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

Divide each side by '3.24'.
13.88888889 + 7.407407407x + x2 = 0

Move the constant term to the right:

Add '-13.88888889' to each side of the equation.
13.88888889 + 7.407407407x + -13.88888889 + x2 = 0 + -13.88888889

Reorder the terms:
13.88888889 + -13.88888889 + 7.407407407x + x2 = 0 + -13.88888889

Combine like terms: 13.88888889 + -13.88888889 = 0.00000000
0.00000000 + 7.407407407x + x2 = 0 + -13.88888889
7.407407407x + x2 = 0 + -13.88888889

Combine like terms: 0 + -13.88888889 = -13.88888889
7.407407407x + x2 = -13.88888889

The x term is 7.407407407x.  Take half its coefficient (3.703703704).
Square it (13.71742113) and add it to both sides.

Add '13.71742113' to each side of the equation.
7.407407407x + 13.71742113 + x2 = -13.88888889 + 13.71742113

Reorder the terms:
13.71742113 + 7.407407407x + x2 = -13.88888889 + 13.71742113

Combine like terms: -13.88888889 + 13.71742113 = -0.17146776
13.71742113 + 7.407407407x + x2 = -0.17146776

Factor a perfect square on the left side:
((x) + 3.703703704)((x) + 3.703703704) = -0.17146776

Can't calculate square root of the right side.

The solution to this equation could not be determined.