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Simplifying 10s2 + -33st + 20t2 = 0 Reorder the terms: -33st + 10s2 + 20t2 = 0 Solving -33st + 10s2 + 20t2 = 0 Solving for variable 's'. Factor a trinomial. (2s + -5t)(5s + -4t) = 0Subproblem 1
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 = 2.5tSubproblem 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 = {2.5t, 0.8t}
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