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Simplifying (D4 + -5D3 + 5D2 + 5D + -6) * y = 0 Reorder the terms: (-6 + 5D + 5D2 + -5D3 + D4) * y = 0 Reorder the terms for easier multiplication: y(-6 + 5D + 5D2 + -5D3 + D4) = 0 (-6 * y + 5D * y + 5D2 * y + -5D3 * y + D4 * y) = 0 (-6y + 5yD + 5yD2 + -5yD3 + yD4) = 0 Solving -6y + 5yD + 5yD2 + -5yD3 + yD4 = 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 + 5D2 + -5D3 + D4) = 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 '(-6 + 5D + 5D2 + -5D3 + D4)' equal to zero and attempt to solve: Simplifying -6 + 5D + 5D2 + -5D3 + D4 = 0 Solving -6 + 5D + 5D2 + -5D3 + D4 = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5D + 5D2 + -5D3 + 6 + D4 = 0 + 6 Reorder the terms: -6 + 6 + 5D + 5D2 + -5D3 + D4 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5D + 5D2 + -5D3 + D4 = 0 + 6 5D + 5D2 + -5D3 + D4 = 0 + 6 Combine like terms: 0 + 6 = 6 5D + 5D2 + -5D3 + D4 = 6 Add '-5D' to each side of the equation. 5D + 5D2 + -5D3 + -5D + D4 = 6 + -5D Reorder the terms: 5D + -5D + 5D2 + -5D3 + D4 = 6 + -5D Combine like terms: 5D + -5D = 0 0 + 5D2 + -5D3 + D4 = 6 + -5D 5D2 + -5D3 + D4 = 6 + -5D Add '-5D2' to each side of the equation. 5D2 + -5D3 + -5D2 + D4 = 6 + -5D + -5D2 Reorder the terms: 5D2 + -5D2 + -5D3 + D4 = 6 + -5D + -5D2 Combine like terms: 5D2 + -5D2 = 0 0 + -5D3 + D4 = 6 + -5D + -5D2 -5D3 + D4 = 6 + -5D + -5D2 Add '5D3' to each side of the equation. -5D3 + 5D3 + D4 = 6 + -5D + -5D2 + 5D3 Combine like terms: -5D3 + 5D3 = 0 0 + D4 = 6 + -5D + -5D2 + 5D3 D4 = 6 + -5D + -5D2 + 5D3 Add '-1D4' to each side of the equation. D4 + -1D4 = 6 + -5D + -5D2 + 5D3 + -1D4 Combine like terms: D4 + -1D4 = 0 0 = 6 + -5D + -5D2 + 5D3 + -1D4 Simplifying 0 = 6 + -5D + -5D2 + 5D3 + -1D4 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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