3z*8*3z*1+3z*1+3z*8*4=

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Solution for 3z*8*3z*1+3z*1+3z*8*4= equation: 


Simplifying
3z * 8 * 3z * 1 + 3z * 1 + 3z * 8 * 4 = 0

Reorder the terms for easier multiplication:
3 * 8 * 3 * 1z * z + 3z * 1 + 3z * 8 * 4 = 0

Multiply 3 * 8
24 * 3 * 1z * z + 3z * 1 + 3z * 8 * 4 = 0

Multiply 24 * 3
72 * 1z * z + 3z * 1 + 3z * 8 * 4 = 0

Multiply 72 * 1
72z * z + 3z * 1 + 3z * 8 * 4 = 0

Multiply z * z
72z2 + 3z * 1 + 3z * 8 * 4 = 0

Reorder the terms for easier multiplication:
72z2 + 3 * 1z + 3z * 8 * 4 = 0

Multiply 3 * 1
72z2 + 3z + 3z * 8 * 4 = 0

Reorder the terms for easier multiplication:
72z2 + 3z + 3 * 8 * 4z = 0

Multiply 3 * 8
72z2 + 3z + 24 * 4z = 0

Multiply 24 * 4
72z2 + 3z + 96z = 0

Reorder the terms:
3z + 96z + 72z2 = 0

Combine like terms: 3z + 96z = 99z
99z + 72z2 = 0

Solving
99z + 72z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '9z'.
9z(11 + 8z) = 0

Ignore the factor 9.

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 '(11 + 8z)' equal to zero and attempt to solve:

Simplifying
11 + 8z = 0

Solving
11 + 8z = 0

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

Add '-11' to each side of the equation.
11 + -11 + 8z = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 8z = 0 + -11
8z = 0 + -11

Combine like terms: 0 + -11 = -11
8z = -11

Divide each side by '8'.
z = -1.375

Simplifying
z = -1.375
Solution
z = {0, -1.375}

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