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Simplifying (11D2 + -1D + -10) * y = 0 Reorder the terms: (-10 + -1D + 11D2) * y = 0 Reorder the terms for easier multiplication: y(-10 + -1D + 11D2) = 0 (-10 * y + -1D * y + 11D2 * y) = 0 (-10y + -1yD + 11yD2) = 0 Solving -10y + -1yD + 11yD2 = 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(-10 + -1D + 11D2) = 0 Factor a trinomial. y((-10 + -11D)(1 + -1D)) = 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 '(-10 + -11D)' equal to zero and attempt to solve: Simplifying -10 + -11D = 0 Solving -10 + -11D = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -11D = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -11D = 0 + 10 -11D = 0 + 10 Combine like terms: 0 + 10 = 10 -11D = 10 Add '11D' to each side of the equation. -11D + 11D = 10 + 11D Combine like terms: -11D + 11D = 0 0 = 10 + 11D Simplifying 0 = 10 + 11D 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.Solution
y = {0}
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