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Simplifying (D3 + 3D2 + -4D + -12) * y = 0 Reorder the terms: (-12 + -4D + 3D2 + D3) * y = 0 Reorder the terms for easier multiplication: y(-12 + -4D + 3D2 + D3) = 0 (-12 * y + -4D * y + 3D2 * y + D3 * y) = 0 (-12y + -4yD + 3yD2 + yD3) = 0 Solving -12y + -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), 'y'. y(-12 + -4D + 3D2 + D3) = 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 '(-12 + -4D + 3D2 + D3)' equal to zero and attempt to solve: Simplifying -12 + -4D + 3D2 + D3 = 0 Solving -12 + -4D + 3D2 + D3 = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -4D + 3D2 + 12 + D3 = 0 + 12 Reorder the terms: -12 + 12 + -4D + 3D2 + D3 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4D + 3D2 + D3 = 0 + 12 -4D + 3D2 + D3 = 0 + 12 Combine like terms: 0 + 12 = 12 -4D + 3D2 + D3 = 12 Add '4D' to each side of the equation. -4D + 3D2 + 4D + D3 = 12 + 4D Reorder the terms: -4D + 4D + 3D2 + D3 = 12 + 4D Combine like terms: -4D + 4D = 0 0 + 3D2 + D3 = 12 + 4D 3D2 + D3 = 12 + 4D Add '-3D2' to each side of the equation. 3D2 + -3D2 + D3 = 12 + 4D + -3D2 Combine like terms: 3D2 + -3D2 = 0 0 + D3 = 12 + 4D + -3D2 D3 = 12 + 4D + -3D2 Add '-1D3' to each side of the equation. D3 + -1D3 = 12 + 4D + -3D2 + -1D3 Combine like terms: D3 + -1D3 = 0 0 = 12 + 4D + -3D2 + -1D3 Simplifying 0 = 12 + 4D + -3D2 + -1D3 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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