-8y^3(2y^4-5y^2+3)=

Solution for -8y^3(2y^4-5y^2+3)= equation:

Simplifying
-8y3(2y4 + -5y2 + 3) = 0

Reorder the terms:
-8y3(3 + -5y2 + 2y4) = 0
(3 * -8y3 + -5y2 * -8y3 + 2y4 * -8y3) = 0
(-24y3 + 40y5 + -16y7) = 0

Solving
-24y3 + 40y5 + -16y7 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y3'.
8y3(-3 + 5y2 + -2y4) = 0

Factor a trinomial.
8y3((-3 + 2y2)(1 + -1y2)) = 0

Factor a difference between two squares.
8y3((-3 + 2y2)((1 + y)(1 + -1y))) = 0

Ignore the factor 8.
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 '(-3 + 2y2)' equal to zero and attempt to solve:

Simplifying
-3 + 2y2 = 0

Solving
-3 + 2y2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2y2 = 0 + 3
2y2 = 0 + 3

Combine like terms: 0 + 3 = 3
2y2 = 3

Divide each side by '2'.
y2 = 1.5

Simplifying
y2 = 1.5

Take the square root of each side:
y = {-1.224744871, 1.224744871}
Subproblem 3
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

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

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

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

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

Simplifying
1 + -1y = 0

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

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

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

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

Simplifying
y = 1
Solution
y = {-1.224744871, 1.224744871, -1, 1}