18z^2+12z+z=0

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Solution for 18z^2+12z+z=0 equation: 


Simplifying
18z2 + 12z + z = 0

Reorder the terms:
12z + z + 18z2 = 0

Combine like terms: 12z + z = 13z
13z + 18z2 = 0

Solving
13z + 18z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(13 + 18z) = 0


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 '(13 + 18z)' equal to zero and attempt to solve:

Simplifying
13 + 18z = 0

Solving
13 + 18z = 0

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

Add '-13' to each side of the equation.
13 + -13 + 18z = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 18z = 0 + -13
18z = 0 + -13

Combine like terms: 0 + -13 = -13
18z = -13

Divide each side by '18'.
z = -0.7222222222

Simplifying
z = -0.7222222222
Solution
z = {0, -0.7222222222}

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