2y^8-4y^7-240y^6=

Solution for 2y^8-4y^7-240y^6= equation:

Simplifying
2y8 + -4y7 + -240y6 = 0

Reorder the terms:
-240y6 + -4y7 + 2y8 = 0

Solving
-240y6 + -4y7 + 2y8 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y6'.
2y6(-120 + -2y + y2) = 0

Factor a trinomial.
2y6((-10 + -1y)(12 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'y6' equal to zero and attempt to solve:

Simplifying
y6 = 0

Solving
y6 = 0

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

Simplifying
y6 = 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 '(-10 + -1y)' equal to zero and attempt to solve:

Simplifying
-10 + -1y = 0

Solving
-10 + -1y = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1y = 0 + 10
-1y = 0 + 10

Combine like terms: 0 + 10 = 10
-1y = 10

Divide each side by '-1'.
y = -10

Simplifying
y = -10
Subproblem 3
Set the factor '(12 + -1y)' equal to zero and attempt to solve:

Simplifying
12 + -1y = 0

Solving
12 + -1y = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = 0 + -12
-1y = 0 + -12

Combine like terms: 0 + -12 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12
Solution
y = {-10, 12}