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Simplifying 30s2 + 17sd + -35d2 = 0 Reorder the terms: 17ds + -35d2 + 30s2 = 0 Solving 17ds + -35d2 + 30s2 = 0 Solving for variable 'd'. Factor a trinomial. (-7d + -5s)(5d + -6s) = 0Subproblem 1
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 = -0.7142857143sSubproblem 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 = {-0.7142857143s, 1.2s}
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