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Simplifying (9D2 + -6D + 1) * y = 0 Reorder the terms: (1 + -6D + 9D2) * y = 0 Reorder the terms for easier multiplication: y(1 + -6D + 9D2) = 0 (1 * y + -6D * y + 9D2 * y) = 0 (1y + -6yD + 9yD2) = 0 Solving 1y + -6yD + 9yD2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'y'. y(1 + -6D + 9D2) = 0 Factor a trinomial. y((1 + -3D)(1 + -3D)) = 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 '(1 + -3D)' equal to zero and attempt to solve: Simplifying 1 + -3D = 0 Solving 1 + -3D = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3D = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3D = 0 + -1 -3D = 0 + -1 Combine like terms: 0 + -1 = -1 -3D = -1 Add '3D' to each side of the equation. -3D + 3D = -1 + 3D Combine like terms: -3D + 3D = 0 0 = -1 + 3D Simplifying 0 = -1 + 3D 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 '(1 + -3D)' equal to zero and attempt to solve: Simplifying 1 + -3D = 0 Solving 1 + -3D = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3D = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3D = 0 + -1 -3D = 0 + -1 Combine like terms: 0 + -1 = -1 -3D = -1 Add '3D' to each side of the equation. -3D + 3D = -1 + 3D Combine like terms: -3D + 3D = 0 0 = -1 + 3D Simplifying 0 = -1 + 3D The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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