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

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

Simplifying
5y4(4y + 1)(y + -5) = 0

Reorder the terms:
5y4(1 + 4y)(y + -5) = 0

Reorder the terms:
5y4(1 + 4y)(-5 + y) = 0

Multiply (1 + 4y) * (-5 + y)
5y4(1(-5 + y) + 4y * (-5 + y)) = 0
5y4((-5 * 1 + y * 1) + 4y * (-5 + y)) = 0
5y4((-5 + 1y) + 4y * (-5 + y)) = 0
5y4(-5 + 1y + (-5 * 4y + y * 4y)) = 0
5y4(-5 + 1y + (-20y + 4y2)) = 0

Combine like terms: 1y + -20y = -19y
5y4(-5 + -19y + 4y2) = 0
(-5 * 5y4 + -19y * 5y4 + 4y2 * 5y4) = 0
(-25y4 + -95y5 + 20y6) = 0

Solving
-25y4 + -95y5 + 20y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y4'.
5y4(-5 + -19y + 4y2) = 0

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

Ignore the factor 5.
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 '(-1 + -4y)' equal to zero and attempt to solve:

Simplifying
-1 + -4y = 0

Solving
-1 + -4y = 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 + -4y = 0 + 1

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

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

Divide each side by '-4'.
y = -0.25

Simplifying
y = -0.25
Subproblem 3
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

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

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

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

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-0.25, 5}