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Simplifying 30s2 + 17st + -35t2 = 0 Reorder the terms: 17st + 30s2 + -35t2 = 0 Solving 17st + 30s2 + -35t2 = 0 Solving for variable 's'. Factor a trinomial. (6s + -5t)(5s + 7t) = 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 '(5s + 7t)' equal to zero and attempt to solve: Simplifying 5s + 7t = 0 Solving 5s + 7t = 0 Move all terms containing s to the left, all other terms to the right. Add '-7t' to each side of the equation. 5s + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 5s + 0 = 0 + -7t 5s = 0 + -7t Remove the zero: 5s = -7t Divide each side by '5'. s = -1.4t Simplifying s = -1.4tSolution
s = {0.8333333333t, -1.4t}
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