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Simplifying 48t2 + -147ts + 9s2 = 0 Reorder the terms: -147st + 9s2 + 48t2 = 0 Solving -147st + 9s2 + 48t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(-49st + 3s2 + 16t2) = 0 Factor a trinomial. 3((s + -16t)(3s + -1t)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(s + -16t)' equal to zero and attempt to solve: Simplifying s + -16t = 0 Solving s + -16t = 0 Move all terms containing s to the left, all other terms to the right. Add '16t' to each side of the equation. s + -16t + 16t = 0 + 16t Combine like terms: -16t + 16t = 0 s + 0 = 0 + 16t s = 0 + 16t Remove the zero: s = 16t Simplifying s = 16tSubproblem 2
Set the factor '(3s + -1t)' equal to zero and attempt to solve: Simplifying 3s + -1t = 0 Solving 3s + -1t = 0 Move all terms containing s to the left, all other terms to the right. Add 't' to each side of the equation. 3s + -1t + t = 0 + t Combine like terms: -1t + t = 0 3s + 0 = 0 + t 3s = 0 + t Remove the zero: 3s = t Divide each side by '3'. s = 0.3333333333t Simplifying s = 0.3333333333tSolution
s = {16t, 0.3333333333t}
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