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Simplifying (9D4 + 6D3 + D2) * y = 0 Reorder the terms: (D2 + 6D3 + 9D4) * y = 0 Reorder the terms for easier multiplication: y(D2 + 6D3 + 9D4) = 0 (D2 * y + 6D3 * y + 9D4 * y) = 0 (yD2 + 6yD3 + 9yD4) = 0 Solving yD2 + 6yD3 + 9yD4 = 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(1 + 6D + 9D2) = 0 Factor a trinomial. yD2((1 + 3D)(1 + 3D)) = 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 '(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. The solution to this equation could not be determined.
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