(4z^2+z+5)+(4z+9)=

Solution for (4z^2+z+5)+(4z+9)= equation:

Simplifying
(4z2 + z + 5) + (4z + 9) = 0

Reorder the terms:
(5 + z + 4z2) + (4z + 9) = 0

Remove parenthesis around (5 + z + 4z2)
5 + z + 4z2 + (4z + 9) = 0

Reorder the terms:
5 + z + 4z2 + (9 + 4z) = 0

Remove parenthesis around (9 + 4z)
5 + z + 4z2 + 9 + 4z = 0

Reorder the terms:
5 + 9 + z + 4z + 4z2 = 0

Combine like terms: 5 + 9 = 14
14 + z + 4z + 4z2 = 0

Combine like terms: z + 4z = 5z
14 + 5z + 4z2 = 0

Solving
14 + 5z + 4z2 = 0

Solving for variable 'z'.

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

Divide each side by '4'.
3.5 + 1.25z + z2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + 1.25z + -3.5 + z2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + 1.25z + z2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 1.25z + z2 = 0 + -3.5
1.25z + z2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
1.25z + z2 = -3.5

The z term is 1.25z.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25z + 0.390625 + z2 = -3.5 + 0.390625

Reorder the terms:
0.390625 + 1.25z + z2 = -3.5 + 0.390625

Combine like terms: -3.5 + 0.390625 = -3.109375
0.390625 + 1.25z + z2 = -3.109375

Factor a perfect square on the left side:
(z + 0.625)(z + 0.625) = -3.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.