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Simplifying y5 + -225y = 0 Reorder the terms: -225y + y5 = 0 Solving -225y + y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-225 + y4) = 0 Factor a difference between two squares. y((15 + y2)(-15 + 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 '(15 + y2)' equal to zero and attempt to solve: Simplifying 15 + y2 = 0 Solving 15 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + y2 = 0 + -15 y2 = 0 + -15 Combine like terms: 0 + -15 = -15 y2 = -15 Simplifying y2 = -15 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 '(-15 + y2)' equal to zero and attempt to solve: Simplifying -15 + y2 = 0 Solving -15 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + y2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + y2 = 0 + 15 y2 = 0 + 15 Combine like terms: 0 + 15 = 15 y2 = 15 Simplifying y2 = 15 Take the square root of each side: y = {-3.872983346, 3.872983346}Solution
y = {0, -3.872983346, 3.872983346}
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