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Simplifying 4s2 + 20sd + 25d2 = 0 Reorder the terms: 20ds + 25d2 + 4s2 = 0 Solving 20ds + 25d2 + 4s2 = 0 Solving for variable 'd'. Factor a trinomial. (5d + 2s)(5d + 2s) = 0Subproblem 1
Set the factor '(5d + 2s)' equal to zero and attempt to solve: Simplifying 5d + 2s = 0 Solving 5d + 2s = 0 Move all terms containing d to the left, all other terms to the right. Add '-2s' to each side of the equation. 5d + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 5d + 0 = 0 + -2s 5d = 0 + -2s Remove the zero: 5d = -2s Divide each side by '5'. d = -0.4s Simplifying d = -0.4sSubproblem 2
Set the factor '(5d + 2s)' equal to zero and attempt to solve: Simplifying 5d + 2s = 0 Solving 5d + 2s = 0 Move all terms containing d to the left, all other terms to the right. Add '-2s' to each side of the equation. 5d + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 5d + 0 = 0 + -2s 5d = 0 + -2s Remove the zero: 5d = -2s Divide each side by '5'. d = -0.4s Simplifying d = -0.4sSolution
d = {-0.4s, -0.4s}
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