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Simplifying D4 + -2d2 + 1 = 0 Reorder the terms: 1 + D4 + -2d2 = 0 Solving 1 + D4 + -2d2 = 0 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + D4 + -1 + -2d2 = 0 + -1 Reorder the terms: 1 + -1 + D4 + -2d2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + D4 + -2d2 = 0 + -1 D4 + -2d2 = 0 + -1 Combine like terms: 0 + -1 = -1 D4 + -2d2 = -1 Add '2d2' to each side of the equation. D4 + -2d2 + 2d2 = -1 + 2d2 Combine like terms: -2d2 + 2d2 = 0 D4 + 0 = -1 + 2d2 D4 = -1 + 2d2 Simplifying D4 = -1 + 2d2 Reorder the terms: 1 + D4 + -2d2 = -1 + 2d2 + 1 + -2d2 Reorder the terms: 1 + D4 + -2d2 = -1 + 1 + 2d2 + -2d2 Combine like terms: -1 + 1 = 0 1 + D4 + -2d2 = 0 + 2d2 + -2d2 1 + D4 + -2d2 = 2d2 + -2d2 Combine like terms: 2d2 + -2d2 = 0 1 + D4 + -2d2 = 0 Factor a trinomial. (D2 + -1d)(D2 + 2d) = 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 + 2d)' equal to zero and attempt to solve: Simplifying D2 + 2d = 0 Solving D2 + 2d = 0 Move all terms containing D to the left, all other terms to the right. Add '-2d' to each side of the equation. D2 + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 D2 + 0 = 0 + -2d D2 = 0 + -2d Remove the zero: D2 = -2d Simplifying D2 = -2d 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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