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Simplifying d2 + -9de + 20e2 = 0 Reorder the terms: -9de + d2 + 20e2 = 0 Solving -9de + d2 + 20e2 = 0 Solving for variable 'd'. Factor a trinomial. (d + -5e)(d + -4e) = 0Subproblem 1
Set the factor '(d + -5e)' equal to zero and attempt to solve: Simplifying d + -5e = 0 Solving d + -5e = 0 Move all terms containing d to the left, all other terms to the right. Add '5e' to each side of the equation. d + -5e + 5e = 0 + 5e Combine like terms: -5e + 5e = 0 d + 0 = 0 + 5e d = 0 + 5e Remove the zero: d = 5e Simplifying d = 5eSubproblem 2
Set the factor '(d + -4e)' equal to zero and attempt to solve: Simplifying d + -4e = 0 Solving d + -4e = 0 Move all terms containing d to the left, all other terms to the right. Add '4e' to each side of the equation. d + -4e + 4e = 0 + 4e Combine like terms: -4e + 4e = 0 d + 0 = 0 + 4e d = 0 + 4e Remove the zero: d = 4e Simplifying d = 4eSolution
d = {5e, 4e}
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