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Simplifying (4D2 + -1) * y = 0 Reorder the terms: (-1 + 4D2) * y = 0 Reorder the terms for easier multiplication: y(-1 + 4D2) = 0 (-1 * y + 4D2 * y) = 0 (-1y + 4yD2) = 0 Solving -1y + 4yD2 = 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(-1 + 4D2) = 0 Factor a difference between two squares. y((1 + 2D)(-1 + 2D)) = 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 '(1 + 2D)' equal to zero and attempt to solve: Simplifying 1 + 2D = 0 Solving 1 + 2D = 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 + 2D = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2D = 0 + -1 2D = 0 + -1 Combine like terms: 0 + -1 = -1 2D = -1 Add '-2D' to each side of the equation. 2D + -2D = -1 + -2D Combine like terms: 2D + -2D = 0 0 = -1 + -2D Simplifying 0 = -1 + -2D 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 + 2D)' equal to zero and attempt to solve: Simplifying -1 + 2D = 0 Solving -1 + 2D = 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 + 2D = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2D = 0 + 1 2D = 0 + 1 Combine like terms: 0 + 1 = 1 2D = 1 Add '-2D' to each side of the equation. 2D + -2D = 1 + -2D Combine like terms: 2D + -2D = 0 0 = 1 + -2D Simplifying 0 = 1 + -2D 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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