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Simplifying 9s2 + 12sd + 4d2 = 0 Reorder the terms: 12ds + 4d2 + 9s2 = 0 Solving 12ds + 4d2 + 9s2 = 0 Solving for variable 'd'. Factor a trinomial. (2d + 3s)(2d + 3s) = 0Subproblem 1
Set the factor '(2d + 3s)' equal to zero and attempt to solve: Simplifying 2d + 3s = 0 Solving 2d + 3s = 0 Move all terms containing d to the left, all other terms to the right. Add '-3s' to each side of the equation. 2d + 3s + -3s = 0 + -3s Combine like terms: 3s + -3s = 0 2d + 0 = 0 + -3s 2d = 0 + -3s Remove the zero: 2d = -3s Divide each side by '2'. d = -1.5s Simplifying d = -1.5sSubproblem 2
Set the factor '(2d + 3s)' equal to zero and attempt to solve: Simplifying 2d + 3s = 0 Solving 2d + 3s = 0 Move all terms containing d to the left, all other terms to the right. Add '-3s' to each side of the equation. 2d + 3s + -3s = 0 + -3s Combine like terms: 3s + -3s = 0 2d + 0 = 0 + -3s 2d = 0 + -3s Remove the zero: 2d = -3s Divide each side by '2'. d = -1.5s Simplifying d = -1.5sSolution
d = {-1.5s, -1.5s}
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