7z(4z-6)=

Solution for 7z(4z-6)= equation:

Simplifying
7z(4z + -6) = 0

Reorder the terms:
7z(-6 + 4z) = 0
(-6 * 7z + 4z * 7z) = 0
(-42z + 28z2) = 0

Solving
-42z + 28z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '14z'.
14z(-3 + 2z) = 0

Ignore the factor 14.
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}