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Simplifying (D6 + -8D4 + 16D2) * y = 0 Reorder the terms: (16D2 + -8D4 + D6) * y = 0 Reorder the terms for easier multiplication: y(16D2 + -8D4 + D6) = 0 (16D2 * y + -8D4 * y + D6 * y) = 0 (16yD2 + -8yD4 + yD6) = 0 Solving 16yD2 + -8yD4 + yD6 = 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), 'yD2'. yD2(16 + -8D2 + D4) = 0 Factor a trinomial. yD2((4 + -1D2)(4 + -1D2)) = 0 Factor a difference between two squares. yD2(((2 + D)(2 + -1D))(4 + -1D2)) = 0 Factor a difference between two squares. yD2(((2 + D)(2 + -1D))(2 + D)(2 + -1D)) = 0Subproblem 1
Set the factor 'yD2' equal to zero and attempt to solve: Simplifying yD2 = 0 Solving yD2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying yD2 = 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 '(2 + D)' equal to zero and attempt to solve: Simplifying 2 + D = 0 Solving 2 + D = 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 + D = 0 + -2 Combine like terms: 2 + -2 = 0 0 + D = 0 + -2 D = 0 + -2 Combine like terms: 0 + -2 = -2 D = -2 Add '-1D' to each side of the equation. D + -1D = -2 + -1D Combine like terms: D + -1D = 0 0 = -2 + -1D Simplifying 0 = -2 + -1D 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 '(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 4
Set the factor '(2 + D)' equal to zero and attempt to solve: Simplifying 2 + D = 0 Solving 2 + D = 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 + D = 0 + -2 Combine like terms: 2 + -2 = 0 0 + D = 0 + -2 D = 0 + -2 Combine like terms: 0 + -2 = -2 D = -2 Add '-1D' to each side of the equation. D + -1D = -2 + -1D Combine like terms: D + -1D = 0 0 = -2 + -1D Simplifying 0 = -2 + -1D The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 5
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. The solution to this equation could not be determined.
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