4+8a*a+9a*a*a*a=0

Solution for 4+8a*a+9a*a*a*a=0 equation:

Simplifying
4 + 8a * a + 9a * a * a * a = 0

Multiply a * a
4 + 8a2 + 9a * a * a * a = 0

Multiply a * a
4 + 8a2 + 9a2 * a * a = 0

Multiply a2 * a
4 + 8a2 + 9a3 * a = 0

Multiply a3 * a
4 + 8a2 + 9a4 = 0

Solving
4 + 8a2 + 9a4 = 0

Solving for variable 'a'.

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

Divide each side by '9'.
0.4444444444 + 0.8888888889a2 + a4 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + 0.8888888889a2 + -0.4444444444 + a4 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + 0.8888888889a2 + a4 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + 0.8888888889a2 + a4 = 0 + -0.4444444444
0.8888888889a2 + a4 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
0.8888888889a2 + a4 = -0.4444444444

The a term is 0.8888888889a2.  Take half its coefficient (0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
0.8888888889a2 + 0.1975308642 + a4 = -0.4444444444 + 0.1975308642

Reorder the terms:
0.1975308642 + 0.8888888889a2 + a4 = -0.4444444444 + 0.1975308642

Combine like terms: -0.4444444444 + 0.1975308642 = -0.2469135802
0.1975308642 + 0.8888888889a2 + a4 = -0.2469135802

Factor a perfect square on the left side:
(a2 + 0.4444444445)(a2 + 0.4444444445) = -0.2469135802

Can't calculate square root of the right side.

The solution to this equation could not be determined.