4=(8-4z)*z

Solution for 4=(8-4z)*z equation:

Simplifying
4 = (8 + -4z) * z

Reorder the terms for easier multiplication:
4 = z(8 + -4z)
4 = (8 * z + -4z * z)
4 = (8z + -4z2)

Solving
4 = 8z + -4z2

Solving for variable 'z'.

Reorder the terms:
4 + -8z + 4z2 = 8z + -8z + -4z2 + 4z2

Combine like terms: 8z + -8z = 0
4 + -8z + 4z2 = 0 + -4z2 + 4z2
4 + -8z + 4z2 = -4z2 + 4z2

Combine like terms: -4z2 + 4z2 = 0
4 + -8z + 4z2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -2z + z2) = 0

Factor a trinomial.
4((1 + -1z)(1 + -1z)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -1z)' equal to zero and attempt to solve:

Simplifying
1 + -1z = 0

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

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

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

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

Simplifying
z = 1
Subproblem 2
Set the factor '(1 + -1z)' equal to zero and attempt to solve:

Simplifying
1 + -1z = 0

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

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

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

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

Simplifying
z = 1
Solution
z = {1, 1}