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Simplifying x2 + 2dx + d2 = 0 Reorder the terms: 2dx + d2 + x2 = 0 Solving 2dx + d2 + x2 = 0 Solving for variable 'd'. Factor a trinomial. (d + x)(d + x) = 0Subproblem 1
Set the factor '(d + x)' equal to zero and attempt to solve: Simplifying d + x = 0 Solving d + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. d + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 d + 0 = 0 + -1x d = 0 + -1x Remove the zero: d = -1x Simplifying d = -1xSubproblem 2
Set the factor '(d + x)' equal to zero and attempt to solve: Simplifying d + x = 0 Solving d + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. d + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 d + 0 = 0 + -1x d = 0 + -1x Remove the zero: d = -1x Simplifying d = -1xSolution
d = {-1x, -1x}
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