3y^3(3y+1)(y-2)=

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Solution for 3y^3(3y+1)(y-2)= equation: 


Simplifying
3y3(3y + 1)(y + -2) = 0

Reorder the terms:
3y3(1 + 3y)(y + -2) = 0

Reorder the terms:
3y3(1 + 3y)(-2 + y) = 0

Multiply (1 + 3y) * (-2 + y)
3y3(1(-2 + y) + 3y * (-2 + y)) = 0
3y3((-2 * 1 + y * 1) + 3y * (-2 + y)) = 0
3y3((-2 + 1y) + 3y * (-2 + y)) = 0
3y3(-2 + 1y + (-2 * 3y + y * 3y)) = 0
3y3(-2 + 1y + (-6y + 3y2)) = 0

Combine like terms: 1y + -6y = -5y
3y3(-2 + -5y + 3y2) = 0
(-2 * 3y3 + -5y * 3y3 + 3y2 * 3y3) = 0
(-6y3 + -15y4 + 9y5) = 0

Solving
-6y3 + -15y4 + 9y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y3'.
3y3(-2 + -5y + 3y2) = 0

Factor a trinomial.
3y3((-1 + -3y)(2 + -1y)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve:

Simplifying
y3 = 0

Solving
y3 = 0

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

Simplifying
y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1 + -3y)' equal to zero and attempt to solve:

Simplifying
-1 + -3y = 0

Solving
-1 + -3y = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3y = 0 + 1
-3y = 0 + 1

Combine like terms: 0 + 1 = 1
-3y = 1

Divide each side by '-3'.
y = -0.3333333333

Simplifying
y = -0.3333333333

Subproblem 3
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-0.3333333333, 2}

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