Question 1054921
it sounds like you're trying to find the factors.
if that's the case, you could do it in the following manner.

start with 3b^3 -5b^2 + 2b = 0
replace b with x because it makes it easier to relate to the quadratic formula.
the equation becomes 3x^3 - 5x^2 + 2x = 0
factor out an x to get x * (3x^2 - 5x + 2) = 0
this equation is true if x = 0 and or if 3x^2 - 5x + 2 = 0.
factor of x = 0 yields the solution of x = 0.
factor of 3x^2 - 5x + 2 = 0 needs to be factored further using the quadratic formula.
when you use that formula, you get x = 1 or x = 2/3.
your possible solutions are x = 0, x = 1, or x = 2/3.
replace x with b to get b = 0 or b = 1 or b = 1/3.


if you graph the equation, it will look like this.
1/3 is the same as .6667 as shown in the graph.


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