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Simplifying 36s2 + 60sd + 25d2 = 0 Reorder the terms: 60ds + 25d2 + 36s2 = 0 Solving 60ds + 25d2 + 36s2 = 0 Solving for variable 'd'. Factor a trinomial. (5d + 6s)(5d + 6s) = 0Subproblem 1
Set the factor '(5d + 6s)' equal to zero and attempt to solve: Simplifying 5d + 6s = 0 Solving 5d + 6s = 0 Move all terms containing d to the left, all other terms to the right. Add '-6s' to each side of the equation. 5d + 6s + -6s = 0 + -6s Combine like terms: 6s + -6s = 0 5d + 0 = 0 + -6s 5d = 0 + -6s Remove the zero: 5d = -6s Divide each side by '5'. d = -1.2s Simplifying d = -1.2sSubproblem 2
Set the factor '(5d + 6s)' equal to zero and attempt to solve: Simplifying 5d + 6s = 0 Solving 5d + 6s = 0 Move all terms containing d to the left, all other terms to the right. Add '-6s' to each side of the equation. 5d + 6s + -6s = 0 + -6s Combine like terms: 6s + -6s = 0 5d + 0 = 0 + -6s 5d = 0 + -6s Remove the zero: 5d = -6s Divide each side by '5'. d = -1.2s Simplifying d = -1.2sSolution
d = {-1.2s, -1.2s}
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