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Simplifying 56s2 + 19sd + -15d2 = 0 Reorder the terms: 19ds + -15d2 + 56s2 = 0 Solving 19ds + -15d2 + 56s2 = 0 Solving for variable 'd'. Factor a trinomial. (-5d + -7s)(3d + -8s) = 0Subproblem 1
Set the factor '(-5d + -7s)' equal to zero and attempt to solve: Simplifying -5d + -7s = 0 Solving -5d + -7s = 0 Move all terms containing d to the left, all other terms to the right. Add '7s' to each side of the equation. -5d + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 -5d + 0 = 0 + 7s -5d = 0 + 7s Remove the zero: -5d = 7s Divide each side by '-5'. d = -1.4s Simplifying d = -1.4sSubproblem 2
Set the factor '(3d + -8s)' equal to zero and attempt to solve: Simplifying 3d + -8s = 0 Solving 3d + -8s = 0 Move all terms containing d to the left, all other terms to the right. Add '8s' to each side of the equation. 3d + -8s + 8s = 0 + 8s Combine like terms: -8s + 8s = 0 3d + 0 = 0 + 8s 3d = 0 + 8s Remove the zero: 3d = 8s Divide each side by '3'. d = 2.666666667s Simplifying d = 2.666666667sSolution
d = {-1.4s, 2.666666667s}
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