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Simplifying 12s2 + 45st + 33t2 = 0 Reorder the terms: 45st + 12s2 + 33t2 = 0 Solving 45st + 12s2 + 33t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(15st + 4s2 + 11t2) = 0 Factor a trinomial. 3((s + t)(4s + 11t)) = 0 Ignore the factor 3.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 + 11t)' equal to zero and attempt to solve: Simplifying 4s + 11t = 0 Solving 4s + 11t = 0 Move all terms containing s to the left, all other terms to the right. Add '-11t' to each side of the equation. 4s + 11t + -11t = 0 + -11t Combine like terms: 11t + -11t = 0 4s + 0 = 0 + -11t 4s = 0 + -11t Remove the zero: 4s = -11t Divide each side by '4'. s = -2.75t Simplifying s = -2.75tSolution
s = {-1t, -2.75t}
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