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Simplifying (25s2) + -1(20st) + (4t2) = 0 Remove parenthesis around (20st) (25s2) + -1 * 20st + (4t2) = 0 Multiply -1 * 20 (25s2) + -20st + (4t2) = 0 Reorder the terms: -20st + (25s2) + (4t2) = 0 Solving -20st + (25s2) + (4t2) = 0 Solving for variable 's'. Factor a trinomial. (5s + -2t)(5s + -2t) = 0Subproblem 1
Set the factor '(5s + -2t)' equal to zero and attempt to solve: Simplifying 5s + -2t = 0 Solving 5s + -2t = 0 Move all terms containing s to the left, all other terms to the right. Add '2t' to each side of the equation. 5s + -2t + 2t = 0 + 2t Combine like terms: -2t + 2t = 0 5s + 0 = 0 + 2t 5s = 0 + 2t Remove the zero: 5s = 2t Divide each side by '5'. s = 0.4t Simplifying s = 0.4tSubproblem 2
Set the factor '(5s + -2t)' equal to zero and attempt to solve: Simplifying 5s + -2t = 0 Solving 5s + -2t = 0 Move all terms containing s to the left, all other terms to the right. Add '2t' to each side of the equation. 5s + -2t + 2t = 0 + 2t Combine like terms: -2t + 2t = 0 5s + 0 = 0 + 2t 5s = 0 + 2t Remove the zero: 5s = 2t Divide each side by '5'. s = 0.4t Simplifying s = 0.4tSolution
s = {0.4t, 0.4t}
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