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Simplifying 36s2 + 60st + 25t2 = 0 Reorder the terms: 60st + 36s2 + 25t2 = 0 Solving 60st + 36s2 + 25t2 = 0 Solving for variable 's'. Factor a trinomial. (6s + 5t)(6s + 5t) = 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 '(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 = {-0.8333333333t, -0.8333333333t}
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