3z(7z+8)=0

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Solution for 3z(7z+8)=0 equation: 


Simplifying
3z(7z + 8) = 0

Reorder the terms:
3z(8 + 7z) = 0
(8 * 3z + 7z * 3z) = 0
(24z + 21z2) = 0

Solving
24z + 21z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3z'.
3z(8 + 7z) = 0

Ignore the factor 3.

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 + 7z)' equal to zero and attempt to solve:

Simplifying
8 + 7z = 0

Solving
8 + 7z = 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 + 7z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7z = 0 + -8
7z = 0 + -8

Combine like terms: 0 + -8 = -8
7z = -8

Divide each side by '7'.
z = -1.142857143

Simplifying
z = -1.142857143
Solution
z = {0, -1.142857143}

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