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Simplifying 6s2 + 13st + -5t2 = 0 Reorder the terms: 13st + 6s2 + -5t2 = 0 Solving 13st + 6s2 + -5t2 = 0 Solving for variable 's'. Factor a trinomial. (3s + -1t)(2s + 5t) = 0Subproblem 1
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 = 0.3333333333tSubproblem 2
Set the factor '(2s + 5t)' equal to zero and attempt to solve: Simplifying 2s + 5t = 0 Solving 2s + 5t = 0 Move all terms containing s to the left, all other terms to the right. Add '-5t' to each side of the equation. 2s + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 2s + 0 = 0 + -5t 2s = 0 + -5t Remove the zero: 2s = -5t Divide each side by '2'. s = -2.5t Simplifying s = -2.5tSolution
s = {0.3333333333t, -2.5t}
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