0=8z(3-z)

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Solution for 0=8z(3-z) equation: 


Simplifying
0 = 8z(3 + -1z)
0 = (3 * 8z + -1z * 8z)
0 = (24z + -8z2)

Solving
0 = 24z + -8z2

Solving for variable 'z'.
Remove the zero:
-24z + 8z2 = 24z + -8z2 + -24z + 8z2

Reorder the terms:
-24z + 8z2 = 24z + -24z + -8z2 + 8z2

Combine like terms: 24z + -24z = 0
-24z + 8z2 = 0 + -8z2 + 8z2
-24z + 8z2 = -8z2 + 8z2

Combine like terms: -8z2 + 8z2 = 0
-24z + 8z2 = 0

Factor out the Greatest Common Factor (GCF), '8z'.
8z(-3 + z) = 0

Ignore the factor 8.

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 + z)' equal to zero and attempt to solve:

Simplifying
-3 + z = 0

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

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

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

Simplifying
z = 3
Solution
z = {0, 3}

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