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Simplifying y5 + -36y = 0 Reorder the terms: -36y + y5 = 0 Solving -36y + y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-36 + y4) = 0 Factor a difference between two squares. y((6 + y2)(-6 + y2)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 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 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 '(-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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