10y^6+2y^2=

Solution for 10y^6+2y^2= equation:

Simplifying
10y6 + 2y2 = 0

Reorder the terms:
2y2 + 10y6 = 0

Solving
2y2 + 10y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(1 + 5y4) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}
Subproblem 2
Set the factor '(1 + 5y4)' equal to zero and attempt to solve:

Simplifying
1 + 5y4 = 0

Solving
1 + 5y4 = 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 + 5y4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5y4 = 0 + -1
5y4 = 0 + -1

Combine like terms: 0 + -1 = -1
5y4 = -1

Divide each side by '5'.
y4 = -0.2

Simplifying
y4 = -0.2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}