-7z^2+42*z=0

Solution for -7z^2+42*z=0 equation:

Simplifying
-7z2 + 42z = 0

Reorder the terms:
42z + -7z2 = 0

Solving
42z + -7z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '7z'.
7z(6 + -1z) = 0

Ignore the factor 7.
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 '(6 + -1z)' equal to zero and attempt to solve:

Simplifying
6 + -1z = 0

Solving
6 + -1z = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1z = 0 + -6

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

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

Divide each side by '-1'.
z = 6

Simplifying
z = 6
Solution
z = {0, 6}