20y^6-32y^2=0

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Solution for 20y^6-32y^2=0 equation:


Simplifying
20y6 + -32y2 = 0

Reorder the terms:
-32y2 + 20y6 = 0

Solving
-32y2 + 20y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y2'.
4y2(-8 + 5y4) = 0

Ignore the factor 4.

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 '(-8 + 5y4)' equal to zero and attempt to solve: Simplifying -8 + 5y4 = 0 Solving -8 + 5y4 = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5y4 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5y4 = 0 + 8 5y4 = 0 + 8 Combine like terms: 0 + 8 = 8 5y4 = 8 Divide each side by '5'. y4 = 1.6 Simplifying y4 = 1.6 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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