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Simplifying s2 + -3sd + -40d2 = 0 Reorder the terms: -3ds + -40d2 + s2 = 0 Solving -3ds + -40d2 + s2 = 0 Solving for variable 'd'. Factor a trinomial. (-5d + -1s)(8d + -1s) = 0Subproblem 1
Set the factor '(-5d + -1s)' equal to zero and attempt to solve: Simplifying -5d + -1s = 0 Solving -5d + -1s = 0 Move all terms containing d to the left, all other terms to the right. Add 's' to each side of the equation. -5d + -1s + s = 0 + s Combine like terms: -1s + s = 0 -5d + 0 = 0 + s -5d = 0 + s Remove the zero: -5d = s Divide each side by '-5'. d = -0.2s Simplifying d = -0.2sSubproblem 2
Set the factor '(8d + -1s)' equal to zero and attempt to solve: Simplifying 8d + -1s = 0 Solving 8d + -1s = 0 Move all terms containing d to the left, all other terms to the right. Add 's' to each side of the equation. 8d + -1s + s = 0 + s Combine like terms: -1s + s = 0 8d + 0 = 0 + s 8d = 0 + s Remove the zero: 8d = s Divide each side by '8'. d = 0.125s Simplifying d = 0.125sSolution
d = {-0.2s, 0.125s}
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