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Simplifying (D2 + -5D + 6) * y = 0 Reorder the terms: (6 + -5D + D2) * y = 0 Reorder the terms for easier multiplication: y(6 + -5D + D2) = 0 (6 * y + -5D * y + D2 * y) = 0 (6y + -5yD + yD2) = 0 Solving 6y + -5yD + yD2 = 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(6 + -5D + D2) = 0 Factor a trinomial. y((2 + -1D)(3 + -1D)) = 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 '(2 + -1D)' equal to zero and attempt to solve: Simplifying 2 + -1D = 0 Solving 2 + -1D = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1D = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1D = 0 + -2 -1D = 0 + -2 Combine like terms: 0 + -2 = -2 -1D = -2 Add 'D' to each side of the equation. -1D + D = -2 + D Combine like terms: -1D + D = 0 0 = -2 + D Simplifying 0 = -2 + D 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 '(3 + -1D)' equal to zero and attempt to solve: Simplifying 3 + -1D = 0 Solving 3 + -1D = 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 + -1D = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1D = 0 + -3 -1D = 0 + -3 Combine like terms: 0 + -3 = -3 -1D = -3 Add 'D' to each side of the equation. -1D + D = -3 + D Combine like terms: -1D + D = 0 0 = -3 + D Simplifying 0 = -3 + D 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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