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Simplifying (d4 + -16) * y = 0 Reorder the terms: (-16 + d4) * y = 0 Reorder the terms for easier multiplication: y(-16 + d4) = 0 (-16 * y + d4 * y) = 0 Reorder the terms: (d4y + -16y) = 0 (d4y + -16y) = 0 Solving d4y + -16y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '16y' to each side of the equation. d4y + -16y + 16y = 0 + 16y Combine like terms: -16y + 16y = 0 d4y + 0 = 0 + 16y d4y = 0 + 16y Remove the zero: d4y = 16y Divide each side by 'y'. d4 = 16 Simplifying d4 = 16 Reorder the terms: -16 + d4 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + d4 = 0 Factor a difference between two squares. (4 + d2)(-4 + d2) = 0 Factor a difference between two squares. (4 + d2)((2 + d)(-2 + d)) = 0Subproblem 1
Set the factor '(4 + d2)' equal to zero and attempt to solve: Simplifying 4 + d2 = 0 Solving 4 + d2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + d2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d2 = 0 + -4 d2 = 0 + -4 Combine like terms: 0 + -4 = -4 d2 = -4 Simplifying d2 = -4 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 '(2 + d)' equal to zero and attempt to solve: Simplifying 2 + d = 0 Solving 2 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + d = 0 + -2 d = 0 + -2 Combine like terms: 0 + -2 = -2 d = -2 Simplifying d = -2Subproblem 3
Set the factor '(-2 + d)' equal to zero and attempt to solve: Simplifying -2 + d = 0 Solving -2 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + d = 0 + 2 d = 0 + 2 Combine like terms: 0 + 2 = 2 d = 2 Simplifying d = 2Solution
d = {-2, 2}
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