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Simplifying 12s2 + 8st + -15t2 = 0 Reorder the terms: 8st + 12s2 + -15t2 = 0 Solving 8st + 12s2 + -15t2 = 0 Solving for variable 's'. Factor a trinomial. (6s + -5t)(2s + 3t) = 0Subproblem 1
Set the factor '(6s + -5t)' equal to zero and attempt to solve: Simplifying 6s + -5t = 0 Solving 6s + -5t = 0 Move all terms containing s to the left, all other terms to the right. Add '5t' to each side of the equation. 6s + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 6s + 0 = 0 + 5t 6s = 0 + 5t Remove the zero: 6s = 5t Divide each side by '6'. s = 0.8333333333t Simplifying s = 0.8333333333tSubproblem 2
Set the factor '(2s + 3t)' equal to zero and attempt to solve: Simplifying 2s + 3t = 0 Solving 2s + 3t = 0 Move all terms containing s to the left, all other terms to the right. Add '-3t' to each side of the equation. 2s + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 2s + 0 = 0 + -3t 2s = 0 + -3t Remove the zero: 2s = -3t Divide each side by '2'. s = -1.5t Simplifying s = -1.5tSolution
s = {0.8333333333t, -1.5t}
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