6y^2-2y^6=0

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


Simplifying
6y2 + -2y6 = 0

Solving
6y2 + -2y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(3 + -1y4) = 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 '(3 + -1y4)' equal to zero and attempt to solve: Simplifying 3 + -1y4 = 0 Solving 3 + -1y4 = 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 + -1y4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y4 = 0 + -3 -1y4 = 0 + -3 Combine like terms: 0 + -3 = -3 -1y4 = -3 Divide each side by '-1'. y4 = 3 Simplifying y4 = 3 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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