b(3b-2)=0

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Solution for b(3b-2)=0 equation: 


Simplifying
b(3b + -2) = 0

Reorder the terms:
b(-2 + 3b) = 0
(-2 * b + 3b * b) = 0
(-2b + 3b2) = 0

Solving
-2b + 3b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-2 + 3b) = 0


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

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0

Subproblem 2
Set the factor '(-2 + 3b)' equal to zero and attempt to solve:

Simplifying
-2 + 3b = 0

Solving
-2 + 3b = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3b = 0 + 2
3b = 0 + 2

Combine like terms: 0 + 2 = 2
3b = 2

Divide each side by '3'.
b = 0.6666666667

Simplifying
b = 0.6666666667
Solution
b = {0, 0.6666666667}

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