Find all real number solutions for the equation 3w3 15w2 1

Find all real number solutions for the equation 3w^3 - 15w^2 + 12w = 0. Solutions (separate by commas); w =

Given that

Answer: w =0 , w = 1 and w = 4

Explaination

3w^3 -15w^2 +12w =0

taking seperating 3w from each term and re writing above equation

3w ( w^2 -5w +4 ) = 0

dividing 3 on the both side of the quation

w ( w^2 -5w +4) = 0

w ( w^2 -w -4w +4) =0

w { w(w-1) -4 (w-1)} = 0

w ( (w-1) (w-4)} = 0

w (w-1) (w-4) = 0

now we can see that

w= 0 , w= 1 and w = 4

these are the soluiton of the given equations