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Simplifying y4 + -6y2 = 0 Reorder the terms: -6y2 + y4 = 0 Solving -6y2 + y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-6 + y2) = 0Subproblem 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 '(-6 + y2)' equal to zero and attempt to solve: Simplifying -6 + y2 = 0 Solving -6 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + y2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + y2 = 0 + 6 y2 = 0 + 6 Combine like terms: 0 + 6 = 6 y2 = 6 Simplifying y2 = 6 Take the square root of each side: y = {-2.449489743, 2.449489743}Solution
y = {0, -2.449489743, 2.449489743}
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