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Simplifying 8y6 + -36y4 + -20y2 = 0 Reorder the terms: -20y2 + -36y4 + 8y6 = 0 Solving -20y2 + -36y4 + 8y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y2'. 4y2(-5 + -9y2 + 2y4) = 0 Factor a trinomial. 4y2((-1 + -2y2)(5 + -1y2)) = 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 '(-1 + -2y2)' equal to zero and attempt to solve: Simplifying -1 + -2y2 = 0 Solving -1 + -2y2 = 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 + -2y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2y2 = 0 + 1 -2y2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2y2 = 1 Divide each side by '-2'. y2 = -0.5 Simplifying y2 = -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 '(5 + -1y2)' equal to zero and attempt to solve: Simplifying 5 + -1y2 = 0 Solving 5 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y2 = 0 + -5 -1y2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1y2 = -5 Divide each side by '-1'. y2 = 5 Simplifying y2 = 5 Take the square root of each side: y = {-2.236067978, 2.236067978}Solution
y = {0, -2.236067978, 2.236067978}
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