3d^2+2de-e^2=

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Solution for 3d^2+2de-e^2= equation:


Simplifying
3d2 + 2de + -1e2 = 0

Reorder the terms:
2de + 3d2 + -1e2 = 0

Solving
2de + 3d2 + -1e2 = 0

Solving for variable 'd'.

Factor a trinomial.
(3d + -1e)(d + e) = 0

Subproblem 1

Set the factor '(3d + -1e)' equal to zero and attempt to solve: Simplifying 3d + -1e = 0 Solving 3d + -1e = 0 Move all terms containing d to the left, all other terms to the right. Add 'e' to each side of the equation. 3d + -1e + e = 0 + e Combine like terms: -1e + e = 0 3d + 0 = 0 + e 3d = 0 + e Remove the zero: 3d = e Divide each side by '3'. d = 0.3333333333e Simplifying d = 0.3333333333e

Subproblem 2

Set the factor '(d + e)' equal to zero and attempt to solve: Simplifying d + e = 0 Solving d + e = 0 Move all terms containing d to the left, all other terms to the right. Add '-1e' to each side of the equation. d + e + -1e = 0 + -1e Combine like terms: e + -1e = 0 d + 0 = 0 + -1e d = 0 + -1e Remove the zero: d = -1e Simplifying d = -1e

Solution

d = {0.3333333333e, -1e}

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