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Simplifying 24s2 + -10st + -25t2 = 0 Reorder the terms: -10st + 24s2 + -25t2 = 0 Solving -10st + 24s2 + -25t2 = 0 Solving for variable 's'. Factor a trinomial. (4s + -5t)(6s + 5t) = 0Subproblem 1
Set the factor '(4s + -5t)' equal to zero and attempt to solve: Simplifying 4s + -5t = 0 Solving 4s + -5t = 0 Move all terms containing s to the left, all other terms to the right. Add '5t' to each side of the equation. 4s + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 4s + 0 = 0 + 5t 4s = 0 + 5t Remove the zero: 4s = 5t Divide each side by '4'. s = 1.25t Simplifying s = 1.25tSubproblem 2
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 = -0.8333333333tSolution
s = {1.25t, -0.8333333333t}
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