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

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

Simplifying
-2z(-4 + -3z) = 7z
(-4 * -2z + -3z * -2z) = 7z
(8z + 6z2) = 7z

Solving
8z + 6z2 = 7z

Solving for variable 'z'.

Reorder the terms:
8z + -7z + 6z2 = 7z + -7z

Combine like terms: 8z + -7z = 1z
1z + 6z2 = 7z + -7z

Combine like terms: 7z + -7z = 0
1z + 6z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(1 + 6z) = 0

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 '(1 + 6z)' equal to zero and attempt to solve:

Simplifying
1 + 6z = 0

Solving
1 + 6z = 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 + 6z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6z = 0 + -1
6z = 0 + -1

Combine like terms: 0 + -1 = -1
6z = -1

Divide each side by '6'.
z = -0.1666666667

Simplifying
z = -0.1666666667
Solution
z = {0, -0.1666666667}