y^2-4y^8=0

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Solution for y^2-4y^8=0 equation: 


Simplifying
y2 + -4y8 = 0

Solving
y2 + -4y8 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(1 + -4y6) = 0

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


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 + 2y3)' equal to zero and attempt to solve:

Simplifying
1 + 2y3 = 0

Solving
1 + 2y3 = 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 + 2y3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y3 = 0 + -1
2y3 = 0 + -1

Combine like terms: 0 + -1 = -1
2y3 = -1

Divide each side by '2'.
y3 = -0.5

Simplifying
y3 = -0.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(1 + -2y3)' equal to zero and attempt to solve:

Simplifying
1 + -2y3 = 0

Solving
1 + -2y3 = 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 + -2y3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y3 = 0 + -1
-2y3 = 0 + -1

Combine like terms: 0 + -1 = -1
-2y3 = -1

Divide each side by '-2'.
y3 = 0.5

Simplifying
y3 = 0.5

The solution to this equation could not be determined.

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

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