42z^2=14z

Solution for 42z^2=14z equation:

Simplifying
42z2 = 14z

Solving
42z2 = 14z

Solving for variable 'z'.

Reorder the terms:
-14z + 42z2 = 14z + -14z

Combine like terms: 14z + -14z = 0
-14z + 42z2 = 0

Factor out the Greatest Common Factor (GCF), '14z'.
14z(-1 + 3z) = 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 '(-1 + 3z)' equal to zero and attempt to solve:

Simplifying
-1 + 3z = 0

Solving
-1 + 3z = 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 + 3z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3z = 0 + 1
3z = 0 + 1

Combine like terms: 0 + 1 = 1
3z = 1

Divide each side by '3'.
z = 0.3333333333

Simplifying
z = 0.3333333333
Solution
z = {0, 0.3333333333}