81z^2+72z+16=0

Solution for 81z^2+72z+16=0 equation:

Simplifying
81z2 + 72z + 16 = 0

Reorder the terms:
16 + 72z + 81z2 = 0

Solving
16 + 72z + 81z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(4 + 9z)(4 + 9z) = 0

Subproblem 1
Set the factor '(4 + 9z)' equal to zero and attempt to solve:

Simplifying
4 + 9z = 0

Solving
4 + 9z = 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 + 9z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9z = 0 + -4
9z = 0 + -4

Combine like terms: 0 + -4 = -4
9z = -4

Divide each side by '9'.
z = -0.4444444444

Simplifying
z = -0.4444444444
Subproblem 2
Set the factor '(4 + 9z)' equal to zero and attempt to solve:

Simplifying
4 + 9z = 0

Solving
4 + 9z = 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 + 9z = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9z = 0 + -4
9z = 0 + -4

Combine like terms: 0 + -4 = -4
9z = -4

Divide each side by '9'.
z = -0.4444444444

Simplifying
z = -0.4444444444
Solution
z = {-0.4444444444, -0.4444444444}