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Simplifying 9y2 + -121y4 = 0 Solving 9y2 + -121y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(9 + -121y2) = 0 Factor a difference between two squares. y2((3 + 11y)(3 + -11y)) = 0Subproblem 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 '(3 + 11y)' equal to zero and attempt to solve: Simplifying 3 + 11y = 0 Solving 3 + 11y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 11y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 11y = 0 + -3 11y = 0 + -3 Combine like terms: 0 + -3 = -3 11y = -3 Divide each side by '11'. y = -0.2727272727 Simplifying y = -0.2727272727Subproblem 3
Set the factor '(3 + -11y)' equal to zero and attempt to solve: Simplifying 3 + -11y = 0 Solving 3 + -11y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -11y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11y = 0 + -3 -11y = 0 + -3 Combine like terms: 0 + -3 = -3 -11y = -3 Divide each side by '-11'. y = 0.2727272727 Simplifying y = 0.2727272727Solution
y = {0, -0.2727272727, 0.2727272727}
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