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Simplifying 5y3 + -605y = 0 Reorder the terms: -605y + 5y3 = 0 Solving -605y + 5y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y'. 5y(-121 + y2) = 0 Factor a difference between two squares. 5y((11 + y)(-11 + y)) = 0 Ignore the factor 5.Subproblem 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 '(11 + y)' equal to zero and attempt to solve: Simplifying 11 + y = 0 Solving 11 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + y = 0 + -11 y = 0 + -11 Combine like terms: 0 + -11 = -11 y = -11 Simplifying y = -11Subproblem 3
Set the factor '(-11 + y)' equal to zero and attempt to solve: Simplifying -11 + y = 0 Solving -11 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + y = 0 + 11 y = 0 + 11 Combine like terms: 0 + 11 = 11 y = 11 Simplifying y = 11Solution
y = {0, -11, 11}
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