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Simplifying (D3 + 2D2 + -15D) * y = 0 Reorder the terms: (-15D + 2D2 + D3) * y = 0 Reorder the terms for easier multiplication: y(-15D + 2D2 + D3) = 0 (-15D * y + 2D2 * y + D3 * y) = 0 (-15yD + 2yD2 + yD3) = 0 Solving -15yD + 2yD2 + 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(-15 + 2D + D2) = 0 Factor a trinomial. yD((-5 + -1D)(3 + -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 '(-5 + -1D)' equal to zero and attempt to solve: Simplifying -5 + -1D = 0 Solving -5 + -1D = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1D = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1D = 0 + 5 -1D = 0 + 5 Combine like terms: 0 + 5 = 5 -1D = 5 Add 'D' to each side of the equation. -1D + D = 5 + D Combine like terms: -1D + D = 0 0 = 5 + D Simplifying 0 = 5 + 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 '(3 + -1D)' equal to zero and attempt to solve: Simplifying 3 + -1D = 0 Solving 3 + -1D = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1D = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1D = 0 + -3 -1D = 0 + -3 Combine like terms: 0 + -3 = -3 -1D = -3 Add 'D' to each side of the equation. -1D + D = -3 + D Combine like terms: -1D + D = 0 0 = -3 + D Simplifying 0 = -3 + 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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