Z(4Z-9)=0

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Solution for Z(4Z-9)=0 equation: 


Simplifying
Z(4Z + -9) = 0

Reorder the terms:
Z(-9 + 4Z) = 0
(-9 * Z + 4Z * Z) = 0
(-9Z + 4Z2) = 0

Solving
-9Z + 4Z2 = 0

Solving for variable 'Z'.

Factor out the Greatest Common Factor (GCF), 'Z'.
Z(-9 + 4Z) = 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 '(-9 + 4Z)' equal to zero and attempt to solve:

Simplifying
-9 + 4Z = 0

Solving
-9 + 4Z = 0

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

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

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

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

Divide each side by '4'.
Z = 2.25

Simplifying
Z = 2.25
Solution
Z = {0, 2.25}

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