2y^4(5y+1)(y-5)=

Solution for 2y^4(5y+1)(y-5)= equation:

Simplifying
2y4(5y + 1)(y + -5) = 0

Reorder the terms:
2y4(1 + 5y)(y + -5) = 0

Reorder the terms:
2y4(1 + 5y)(-5 + y) = 0

Multiply (1 + 5y) * (-5 + y)
2y4(1(-5 + y) + 5y * (-5 + y)) = 0
2y4((-5 * 1 + y * 1) + 5y * (-5 + y)) = 0
2y4((-5 + 1y) + 5y * (-5 + y)) = 0
2y4(-5 + 1y + (-5 * 5y + y * 5y)) = 0
2y4(-5 + 1y + (-25y + 5y2)) = 0

Combine like terms: 1y + -25y = -24y
2y4(-5 + -24y + 5y2) = 0
(-5 * 2y4 + -24y * 2y4 + 5y2 * 2y4) = 0
(-10y4 + -48y5 + 10y6) = 0

Solving
-10y4 + -48y5 + 10y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y4'.
2y4(-5 + -24y + 5y2) = 0

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

Ignore the factor 2.
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 + -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 '(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 = {-0.2, 5}