3y^3(5y+3)(y-2)=

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Solution for 3y^3(5y+3)(y-2)= equation: 


Simplifying
3y3(5y + 3)(y + -2) = 0

Reorder the terms:
3y3(3 + 5y)(y + -2) = 0

Reorder the terms:
3y3(3 + 5y)(-2 + y) = 0

Multiply (3 + 5y) * (-2 + y)
3y3(3(-2 + y) + 5y * (-2 + y)) = 0
3y3((-2 * 3 + y * 3) + 5y * (-2 + y)) = 0
3y3((-6 + 3y) + 5y * (-2 + y)) = 0
3y3(-6 + 3y + (-2 * 5y + y * 5y)) = 0
3y3(-6 + 3y + (-10y + 5y2)) = 0

Combine like terms: 3y + -10y = -7y
3y3(-6 + -7y + 5y2) = 0
(-6 * 3y3 + -7y * 3y3 + 5y2 * 3y3) = 0
(-18y3 + -21y4 + 15y5) = 0

Solving
-18y3 + -21y4 + 15y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y3'.
3y3(-6 + -7y + 5y2) = 0

Factor a trinomial.
3y3((-3 + -5y)(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 '(-3 + -5y)' equal to zero and attempt to solve:

Simplifying
-3 + -5y = 0

Solving
-3 + -5y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5y = 0 + 3
-5y = 0 + 3

Combine like terms: 0 + 3 = 3
-5y = 3

Divide each side by '-5'.
y = -0.6

Simplifying
y = -0.6

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 = {-0.6, 2}

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