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Simplifying 49s2 + -112sd + 64d2 = 0 Reorder the terms: -112ds + 64d2 + 49s2 = 0 Solving -112ds + 64d2 + 49s2 = 0 Solving for variable 'd'. Factor a trinomial. (8d + -7s)(8d + -7s) = 0Subproblem 1
Set the factor '(8d + -7s)' equal to zero and attempt to solve: Simplifying 8d + -7s = 0 Solving 8d + -7s = 0 Move all terms containing d to the left, all other terms to the right. Add '7s' to each side of the equation. 8d + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 8d + 0 = 0 + 7s 8d = 0 + 7s Remove the zero: 8d = 7s Divide each side by '8'. d = 0.875s Simplifying d = 0.875sSubproblem 2
Set the factor '(8d + -7s)' equal to zero and attempt to solve: Simplifying 8d + -7s = 0 Solving 8d + -7s = 0 Move all terms containing d to the left, all other terms to the right. Add '7s' to each side of the equation. 8d + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 8d + 0 = 0 + 7s 8d = 0 + 7s Remove the zero: 8d = 7s Divide each side by '8'. d = 0.875s Simplifying d = 0.875sSolution
d = {0.875s, 0.875s}
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