-3(-4-2z)7z=

Solution for -3(-4-2z)7z= equation:

Simplifying
-3(-4 + -2z) * 7z = 0

Reorder the terms for easier multiplication:
-3 * 7z(-4 + -2z) = 0

Multiply -3 * 7
-21z(-4 + -2z) = 0
(-4 * -21z + -2z * -21z) = 0
(84z + 42z2) = 0

Solving
84z + 42z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '42z'.
42z(2 + z) = 0

Ignore the factor 42.
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 '(2 + z)' equal to zero and attempt to solve:

Simplifying
2 + z = 0

Solving
2 + z = 0

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

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

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

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

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