4y^4(2y+5)(y-4)=

Solution for 4y^4(2y+5)(y-4)= equation:

Simplifying
4y4(2y + 5)(y + -4) = 0

Reorder the terms:
4y4(5 + 2y)(y + -4) = 0

Reorder the terms:
4y4(5 + 2y)(-4 + y) = 0

Multiply (5 + 2y) * (-4 + y)
4y4(5(-4 + y) + 2y * (-4 + y)) = 0
4y4((-4 * 5 + y * 5) + 2y * (-4 + y)) = 0
4y4((-20 + 5y) + 2y * (-4 + y)) = 0
4y4(-20 + 5y + (-4 * 2y + y * 2y)) = 0
4y4(-20 + 5y + (-8y + 2y2)) = 0

Combine like terms: 5y + -8y = -3y
4y4(-20 + -3y + 2y2) = 0
(-20 * 4y4 + -3y * 4y4 + 2y2 * 4y4) = 0
(-80y4 + -12y5 + 8y6) = 0

Solving
-80y4 + -12y5 + 8y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y4'.
4y4(-20 + -3y + 2y2) = 0

Factor a trinomial.
4y4((-5 + -2y)(4 + -1y)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve:

Simplifying
y4 = 0

Solving
y4 = 0

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

Simplifying
y4 = 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 '(-5 + -2y)' equal to zero and attempt to solve:

Simplifying
-5 + -2y = 0

Solving
-5 + -2y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2y = 0 + 5
-2y = 0 + 5

Combine like terms: 0 + 5 = 5
-2y = 5

Divide each side by '-2'.
y = -2.5

Simplifying
y = -2.5
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 = {-2.5, 4}