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Simplifying 14s2 + -167st + -12t2 = 0 Reorder the terms: -167st + 14s2 + -12t2 = 0 Solving -167st + 14s2 + -12t2 = 0 Solving for variable 's'. Factor a trinomial. (s + -12t)(14s + t) = 0Subproblem 1
Set the factor '(s + -12t)' equal to zero and attempt to solve: Simplifying s + -12t = 0 Solving s + -12t = 0 Move all terms containing s to the left, all other terms to the right. Add '12t' to each side of the equation. s + -12t + 12t = 0 + 12t Combine like terms: -12t + 12t = 0 s + 0 = 0 + 12t s = 0 + 12t Remove the zero: s = 12t Simplifying s = 12tSubproblem 2
Set the factor '(14s + t)' equal to zero and attempt to solve: Simplifying 14s + t = 0 Solving 14s + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-1t' to each side of the equation. 14s + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 14s + 0 = 0 + -1t 14s = 0 + -1t Remove the zero: 14s = -1t Divide each side by '14'. s = -0.07142857143t Simplifying s = -0.07142857143tSolution
s = {12t, -0.07142857143t}
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