4z(5z+17)=0

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Solution for 4z(5z+17)=0 equation: 


Simplifying
4z(5z + 17) = 0

Reorder the terms:
4z(17 + 5z) = 0
(17 * 4z + 5z * 4z) = 0
(68z + 20z2) = 0

Solving
68z + 20z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '4z'.
4z(17 + 5z) = 0

Ignore the factor 4.

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 '(17 + 5z)' equal to zero and attempt to solve:

Simplifying
17 + 5z = 0

Solving
17 + 5z = 0

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

Add '-17' to each side of the equation.
17 + -17 + 5z = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 5z = 0 + -17
5z = 0 + -17

Combine like terms: 0 + -17 = -17
5z = -17

Divide each side by '5'.
z = -3.4

Simplifying
z = -3.4
Solution
z = {0, -3.4}

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