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Simplifying (D3 + 3D2 + -4D) * y = 0 Reorder the terms: (-4D + 3D2 + D3) * y = 0 Reorder the terms for easier multiplication: y(-4D + 3D2 + D3) = 0 (-4D * y + 3D2 * y + D3 * y) = 0 (-4yD + 3yD2 + yD3) = 0 Solving -4yD + 3yD2 + yD3 = 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), 'yD'. yD(-4 + 3D + D2) = 0 Factor a trinomial. yD((-4 + -1D)(1 + -1D)) = 0Subproblem 1
Set the factor 'yD' equal to zero and attempt to solve: Simplifying yD = 0 Solving yD = 0 Move all terms containing y to the left, all other terms to the right. Simplifying yD = 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 '(-4 + -1D)' equal to zero and attempt to solve: Simplifying -4 + -1D = 0 Solving -4 + -1D = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1D = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1D = 0 + 4 -1D = 0 + 4 Combine like terms: 0 + 4 = 4 -1D = 4 Add 'D' to each side of the equation. -1D + D = 4 + D Combine like terms: -1D + D = 0 0 = 4 + D Simplifying 0 = 4 + 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 '(1 + -1D)' equal to zero and attempt to solve: Simplifying 1 + -1D = 0 Solving 1 + -1D = 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 + -1D = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1D = 0 + -1 -1D = 0 + -1 Combine like terms: 0 + -1 = -1 -1D = -1 Add 'D' to each side of the equation. -1D + D = -1 + D Combine like terms: -1D + D = 0 0 = -1 + D Simplifying 0 = -1 + 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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