3y^3(5y+1)(y-4)=

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Solution for 3y^3(5y+1)(y-4)= equation: 


Simplifying
3y3(5y + 1)(y + -4) = 0

Reorder the terms:
3y3(1 + 5y)(y + -4) = 0

Reorder the terms:
3y3(1 + 5y)(-4 + y) = 0

Multiply (1 + 5y) * (-4 + y)
3y3(1(-4 + y) + 5y * (-4 + y)) = 0
3y3((-4 * 1 + y * 1) + 5y * (-4 + y)) = 0
3y3((-4 + 1y) + 5y * (-4 + y)) = 0
3y3(-4 + 1y + (-4 * 5y + y * 5y)) = 0
3y3(-4 + 1y + (-20y + 5y2)) = 0

Combine like terms: 1y + -20y = -19y
3y3(-4 + -19y + 5y2) = 0
(-4 * 3y3 + -19y * 3y3 + 5y2 * 3y3) = 0
(-12y3 + -57y4 + 15y5) = 0

Solving
-12y3 + -57y4 + 15y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y3'.
3y3(-4 + -19y + 5y2) = 0

Factor a trinomial.
3y3((-1 + -5y)(4 + -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 + -5y)' equal to zero and attempt to solve:

Simplifying
-1 + -5y = 0

Solving
-1 + -5y = 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 + -5y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5y = 0 + 1
-5y = 0 + 1

Combine like terms: 0 + 1 = 1
-5y = 1

Divide each side by '-5'.
y = -0.2

Simplifying
y = -0.2

Subproblem 3
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-0.2, 4}

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