2z(9z-4)=0

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Solution for 2z(9z-4)=0 equation: 


Simplifying
2z(9z + -4) = 0

Reorder the terms:
2z(-4 + 9z) = 0
(-4 * 2z + 9z * 2z) = 0
(-8z + 18z2) = 0

Solving
-8z + 18z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z'.
2z(-4 + 9z) = 0

Ignore the factor 2.

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 '(-4 + 9z)' equal to zero and attempt to solve:

Simplifying
-4 + 9z = 0

Solving
-4 + 9z = 0

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

Add '4' to each side of the equation.
-4 + 4 + 9z = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9z = 0 + 4
9z = 0 + 4

Combine like terms: 0 + 4 = 4
9z = 4

Divide each side by '9'.
z = 0.4444444444

Simplifying
z = 0.4444444444
Solution
z = {0, 0.4444444444}

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