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Simplifying 60s2 + -34sd + -70d2 = 0 Reorder the terms: -34ds + -70d2 + 60s2 = 0 Solving -34ds + -70d2 + 60s2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(-17ds + -35d2 + 30s2) = 0 Factor a trinomial. 2((-5d + -6s)(7d + -5s)) = 0 Ignore the factor 2.Subproblem 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 '(7d + -5s)' equal to zero and attempt to solve: Simplifying 7d + -5s = 0 Solving 7d + -5s = 0 Move all terms containing d to the left, all other terms to the right. Add '5s' to each side of the equation. 7d + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 7d + 0 = 0 + 5s 7d = 0 + 5s Remove the zero: 7d = 5s Divide each side by '7'. d = 0.7142857143s Simplifying d = 0.7142857143sSolution
d = {-1.2s, 0.7142857143s}
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