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Simplifying 20s2 + -9st + -20t2 = 0 Reorder the terms: -9st + 20s2 + -20t2 = 0 Solving -9st + 20s2 + -20t2 = 0 Solving for variable 's'. Factor a trinomial. (4s + -5t)(5s + 4t) = 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 '(5s + 4t)' equal to zero and attempt to solve: Simplifying 5s + 4t = 0 Solving 5s + 4t = 0 Move all terms containing s to the left, all other terms to the right. Add '-4t' to each side of the equation. 5s + 4t + -4t = 0 + -4t Combine like terms: 4t + -4t = 0 5s + 0 = 0 + -4t 5s = 0 + -4t Remove the zero: 5s = -4t Divide each side by '5'. s = -0.8t Simplifying s = -0.8tSolution
s = {1.25t, -0.8t}
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