22z+16z^2=3

Solution for 22z+16z^2=3 equation:

Simplifying
22z + 16z2 = 3

Solving
22z + 16z2 = 3

Solving for variable 'z'.

Reorder the terms:
-3 + 22z + 16z2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 22z + 16z2 = 0

Factor a trinomial.
(-3 + -2z)(1 + -8z) = 0

Subproblem 1
Set the factor '(-3 + -2z)' equal to zero and attempt to solve:

Simplifying
-3 + -2z = 0

Solving
-3 + -2z = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2z = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2z = 0 + 3
-2z = 0 + 3

Combine like terms: 0 + 3 = 3
-2z = 3

Divide each side by '-2'.
z = -1.5

Simplifying
z = -1.5
Subproblem 2
Set the factor '(1 + -8z)' equal to zero and attempt to solve:

Simplifying
1 + -8z = 0

Solving
1 + -8z = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8z = 0 + -1
-8z = 0 + -1

Combine like terms: 0 + -1 = -1
-8z = -1

Divide each side by '-8'.
z = 0.125

Simplifying
z = 0.125
Solution
z = {-1.5, 0.125}