(4z+z)(3z-8)=0

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Solution for (4z+z)(3z-8)=0 equation: 


Simplifying
(4z + z)(3z + -8) = 0

Combine like terms: 4z + z = 5z
(5z)(3z + -8) = 0

Remove parenthesis around (5z)
5z(3z + -8) = 0

Reorder the terms:
5z(-8 + 3z) = 0
(-8 * 5z + 3z * 5z) = 0
(-40z + 15z2) = 0

Solving
-40z + 15z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '5z'.
5z(-8 + 3z) = 0

Ignore the factor 5.

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 '(-8 + 3z)' equal to zero and attempt to solve:

Simplifying
-8 + 3z = 0

Solving
-8 + 3z = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3z = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3z = 0 + 8
3z = 0 + 8

Combine like terms: 0 + 8 = 8
3z = 8

Divide each side by '3'.
z = 2.666666667

Simplifying
z = 2.666666667
Solution
z = {0, 2.666666667}

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