q(2q-9)=0

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Solution for q(2q-9)=0 equation: 


Simplifying
q(2q + -9) = 0

Reorder the terms:
q(-9 + 2q) = 0
(-9 * q + 2q * q) = 0
(-9q + 2q2) = 0

Solving
-9q + 2q2 = 0

Solving for variable 'q'.

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


Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0

Subproblem 2
Set the factor '(-9 + 2q)' equal to zero and attempt to solve:

Simplifying
-9 + 2q = 0

Solving
-9 + 2q = 0

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

Add '9' to each side of the equation.
-9 + 9 + 2q = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2q = 0 + 9
2q = 0 + 9

Combine like terms: 0 + 9 = 9
2q = 9

Divide each side by '2'.
q = 4.5

Simplifying
q = 4.5
Solution
q = {0, 4.5}

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