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Simplifying 8s2 + 22st + 14t2 = 0 Reorder the terms: 22st + 8s2 + 14t2 = 0 Solving 22st + 8s2 + 14t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(11st + 4s2 + 7t2) = 0 Factor a trinomial. 2((s + t)(4s + 7t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(s + t)' equal to zero and attempt to solve: Simplifying s + t = 0 Solving s + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-1t' to each side of the equation. s + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 s + 0 = 0 + -1t s = 0 + -1t Remove the zero: s = -1t Simplifying s = -1tSubproblem 2
Set the factor '(4s + 7t)' equal to zero and attempt to solve: Simplifying 4s + 7t = 0 Solving 4s + 7t = 0 Move all terms containing s to the left, all other terms to the right. Add '-7t' to each side of the equation. 4s + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 4s + 0 = 0 + -7t 4s = 0 + -7t Remove the zero: 4s = -7t Divide each side by '4'. s = -1.75t Simplifying s = -1.75tSolution
s = {-1t, -1.75t}
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