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Simplifying 2y4 + -16y2 = 0 Reorder the terms: -16y2 + 2y4 = 0 Solving -16y2 + 2y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-8 + y2) = 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 '(-8 + y2)' equal to zero and attempt to solve: Simplifying -8 + y2 = 0 Solving -8 + y2 = 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 + y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + y2 = 0 + 8 y2 = 0 + 8 Combine like terms: 0 + 8 = 8 y2 = 8 Simplifying y2 = 8 Take the square root of each side: y = {-2.828427125, 2.828427125}Solution
y = {0, -2.828427125, 2.828427125}
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