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Simplifying k2 + -23kd + -50d2 = 0 Reorder the terms: -23dk + -50d2 + k2 = 0 Solving -23dk + -50d2 + k2 = 0 Solving for variable 'd'. Factor a trinomial. (-2d + -1k)(25d + -1k) = 0Subproblem 1
Set the factor '(-2d + -1k)' equal to zero and attempt to solve: Simplifying -2d + -1k = 0 Solving -2d + -1k = 0 Move all terms containing d to the left, all other terms to the right. Add 'k' to each side of the equation. -2d + -1k + k = 0 + k Combine like terms: -1k + k = 0 -2d + 0 = 0 + k -2d = 0 + k Remove the zero: -2d = k Divide each side by '-2'. d = -0.5k Simplifying d = -0.5kSubproblem 2
Set the factor '(25d + -1k)' equal to zero and attempt to solve: Simplifying 25d + -1k = 0 Solving 25d + -1k = 0 Move all terms containing d to the left, all other terms to the right. Add 'k' to each side of the equation. 25d + -1k + k = 0 + k Combine like terms: -1k + k = 0 25d + 0 = 0 + k 25d = 0 + k Remove the zero: 25d = k Divide each side by '25'. d = 0.04k Simplifying d = 0.04kSolution
d = {-0.5k, 0.04k}
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