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Simplifying 42s2 + -29st + -5t2 = 0 Reorder the terms: -29st + 42s2 + -5t2 = 0 Solving -29st + 42s2 + -5t2 = 0 Solving for variable 's'. Factor a trinomial. (6s + -5t)(7s + t) = 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 '(7s + t)' equal to zero and attempt to solve: Simplifying 7s + t = 0 Solving 7s + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-1t' to each side of the equation. 7s + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 7s + 0 = 0 + -1t 7s = 0 + -1t Remove the zero: 7s = -1t Divide each side by '7'. s = -0.1428571429t Simplifying s = -0.1428571429tSolution
s = {0.8333333333t, -0.1428571429t}
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