4z^2+43z+108=

Solution for 4z^2+43z+108= equation:

Simplifying
4z2 + 43z + 108 = 0

Reorder the terms:
108 + 43z + 4z2 = 0

Solving
108 + 43z + 4z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(27 + 4z)(4 + z) = 0

Subproblem 1
Set the factor '(27 + 4z)' equal to zero and attempt to solve:

Simplifying
27 + 4z = 0

Solving
27 + 4z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-27' to each side of the equation.
27 + -27 + 4z = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 4z = 0 + -27
4z = 0 + -27

Combine like terms: 0 + -27 = -27
4z = -27

Divide each side by '4'.
z = -6.75

Simplifying
z = -6.75
Subproblem 2
Set the factor '(4 + z)' equal to zero and attempt to solve:

Simplifying
4 + z = 0

Solving
4 + z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + z = 0 + -4
z = 0 + -4

Combine like terms: 0 + -4 = -4
z = -4

Simplifying
z = -4
Solution
z = {-6.75, -4}