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Simplifying 8y5 + -50y3 = 0 Reorder the terms: -50y3 + 8y5 = 0 Solving -50y3 + 8y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y3'. 2y3(-25 + 4y2) = 0 Factor a difference between two squares. 2y3((5 + 2y)(-5 + 2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 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 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Subproblem 3
Set the factor '(-5 + 2y)' equal to zero and attempt to solve: Simplifying -5 + 2y = 0 Solving -5 + 2y = 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 + 2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = 0 + 5 2y = 0 + 5 Combine like terms: 0 + 5 = 5 2y = 5 Divide each side by '2'. y = 2.5 Simplifying y = 2.5Solution
y = {-2.5, 2.5}
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