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Simplifying s2 + 21st + 108t2 = 0 Reorder the terms: 21st + s2 + 108t2 = 0 Solving 21st + s2 + 108t2 = 0 Solving for variable 's'. Factor a trinomial. (s + 9t)(s + 12t) = 0Subproblem 1
Set the factor '(s + 9t)' equal to zero and attempt to solve: Simplifying s + 9t = 0 Solving s + 9t = 0 Move all terms containing s to the left, all other terms to the right. Add '-9t' to each side of the equation. s + 9t + -9t = 0 + -9t Combine like terms: 9t + -9t = 0 s + 0 = 0 + -9t s = 0 + -9t Remove the zero: s = -9t Simplifying s = -9tSubproblem 2
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 = -12tSolution
s = {-9t, -12t}
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