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Simplifying 9s2 + 42sd + 49d2 = 0 Reorder the terms: 42ds + 49d2 + 9s2 = 0 Solving 42ds + 49d2 + 9s2 = 0 Solving for variable 'd'. Factor a trinomial. (7d + 3s)(7d + 3s) = 0Subproblem 1
Set the factor '(7d + 3s)' equal to zero and attempt to solve: Simplifying 7d + 3s = 0 Solving 7d + 3s = 0 Move all terms containing d to the left, all other terms to the right. Add '-3s' to each side of the equation. 7d + 3s + -3s = 0 + -3s Combine like terms: 3s + -3s = 0 7d + 0 = 0 + -3s 7d = 0 + -3s Remove the zero: 7d = -3s Divide each side by '7'. d = -0.4285714286s Simplifying d = -0.4285714286sSubproblem 2
Set the factor '(7d + 3s)' equal to zero and attempt to solve: Simplifying 7d + 3s = 0 Solving 7d + 3s = 0 Move all terms containing d to the left, all other terms to the right. Add '-3s' to each side of the equation. 7d + 3s + -3s = 0 + -3s Combine like terms: 3s + -3s = 0 7d + 0 = 0 + -3s 7d = 0 + -3s Remove the zero: 7d = -3s Divide each side by '7'. d = -0.4285714286s Simplifying d = -0.4285714286sSolution
d = {-0.4285714286s, -0.4285714286s}
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