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

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

Simplifying
3y4(5y + 4)(y + -5) = 0

Reorder the terms:
3y4(4 + 5y)(y + -5) = 0

Reorder the terms:
3y4(4 + 5y)(-5 + y) = 0

Multiply (4 + 5y) * (-5 + y)
3y4(4(-5 + y) + 5y * (-5 + y)) = 0
3y4((-5 * 4 + y * 4) + 5y * (-5 + y)) = 0
3y4((-20 + 4y) + 5y * (-5 + y)) = 0
3y4(-20 + 4y + (-5 * 5y + y * 5y)) = 0
3y4(-20 + 4y + (-25y + 5y2)) = 0

Combine like terms: 4y + -25y = -21y
3y4(-20 + -21y + 5y2) = 0
(-20 * 3y4 + -21y * 3y4 + 5y2 * 3y4) = 0
(-60y4 + -63y5 + 15y6) = 0

Solving
-60y4 + -63y5 + 15y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y4'.
3y4(-20 + -21y + 5y2) = 0

Factor a trinomial.
3y4((-4 + -5y)(5 + -1y)) = 0

Ignore the factor 3.
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 '(-4 + -5y)' equal to zero and attempt to solve:

Simplifying
-4 + -5y = 0

Solving
-4 + -5y = 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 + -5y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5y = 0 + 4
-5y = 0 + 4

Combine like terms: 0 + 4 = 4
-5y = 4

Divide each side by '-5'.
y = -0.8

Simplifying
y = -0.8
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 = {-0.8, 5}