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Simplifying 25s2 + -60st + 36t2 = 0 Reorder the terms: -60st + 25s2 + 36t2 = 0 Solving -60st + 25s2 + 36t2 = 0 Solving for variable 's'. Factor a trinomial. (5s + -6t)(5s + -6t) = 0Subproblem 1
Set the factor '(5s + -6t)' equal to zero and attempt to solve: Simplifying 5s + -6t = 0 Solving 5s + -6t = 0 Move all terms containing s to the left, all other terms to the right. Add '6t' to each side of the equation. 5s + -6t + 6t = 0 + 6t Combine like terms: -6t + 6t = 0 5s + 0 = 0 + 6t 5s = 0 + 6t Remove the zero: 5s = 6t Divide each side by '5'. s = 1.2t Simplifying s = 1.2tSubproblem 2
Set the factor '(5s + -6t)' equal to zero and attempt to solve: Simplifying 5s + -6t = 0 Solving 5s + -6t = 0 Move all terms containing s to the left, all other terms to the right. Add '6t' to each side of the equation. 5s + -6t + 6t = 0 + 6t Combine like terms: -6t + 6t = 0 5s + 0 = 0 + 6t 5s = 0 + 6t Remove the zero: 5s = 6t Divide each side by '5'. s = 1.2t Simplifying s = 1.2tSolution
s = {1.2t, 1.2t}
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