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Simplifying D4 + -5d2 + 4 = 0 Reorder the terms: 4 + D4 + -5d2 = 0 Solving 4 + D4 + -5d2 = 0 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + D4 + -4 + -5d2 = 0 + -4 Reorder the terms: 4 + -4 + D4 + -5d2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + D4 + -5d2 = 0 + -4 D4 + -5d2 = 0 + -4 Combine like terms: 0 + -4 = -4 D4 + -5d2 = -4 Add '5d2' to each side of the equation. D4 + -5d2 + 5d2 = -4 + 5d2 Combine like terms: -5d2 + 5d2 = 0 D4 + 0 = -4 + 5d2 D4 = -4 + 5d2 Simplifying D4 = -4 + 5d2 Reorder the terms: 4 + D4 + -5d2 = -4 + 5d2 + 4 + -5d2 Reorder the terms: 4 + D4 + -5d2 = -4 + 4 + 5d2 + -5d2 Combine like terms: -4 + 4 = 0 4 + D4 + -5d2 = 0 + 5d2 + -5d2 4 + D4 + -5d2 = 5d2 + -5d2 Combine like terms: 5d2 + -5d2 = 0 4 + D4 + -5d2 = 0 Factor a trinomial. (D2 + -1d)(D2 + 5d) = 0Subproblem 1
Set the factor '(D2 + -1d)' equal to zero and attempt to solve: Simplifying D2 + -1d = 0 Solving D2 + -1d = 0 Move all terms containing D to the left, all other terms to the right. Add 'd' to each side of the equation. D2 + -1d + d = 0 + d Combine like terms: -1d + d = 0 D2 + 0 = 0 + d D2 = 0 + d Remove the zero: D2 = d Simplifying D2 = d 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 '(D2 + 5d)' equal to zero and attempt to solve: Simplifying D2 + 5d = 0 Solving D2 + 5d = 0 Move all terms containing D to the left, all other terms to the right. Add '-5d' to each side of the equation. D2 + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 D2 + 0 = 0 + -5d D2 = 0 + -5d Remove the zero: D2 = -5d Simplifying D2 = -5d 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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