-4z^2-6z=0

Solution for -4z^2-6z=0 equation:

Simplifying
-4z2 + -6z = 0

Reorder the terms:
-6z + -4z2 = 0

Solving
-6z + -4z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '-2z'.
-2z(3 + 2z) = 0

Ignore the factor -2.
Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0
Subproblem 2
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
Solution
z = {0, -1.5}