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Simplifying (2s + 9t)(2s + 9t) = 0 Multiply (2s + 9t) * (2s + 9t) (2s * (2s + 9t) + 9t * (2s + 9t)) = 0 ((2s * 2s + 9t * 2s) + 9t * (2s + 9t)) = 0 Reorder the terms: ((18st + 4s2) + 9t * (2s + 9t)) = 0 ((18st + 4s2) + 9t * (2s + 9t)) = 0 (18st + 4s2 + (2s * 9t + 9t * 9t)) = 0 (18st + 4s2 + (18st + 81t2)) = 0 Reorder the terms: (18st + 18st + 4s2 + 81t2) = 0 Combine like terms: 18st + 18st = 36st (36st + 4s2 + 81t2) = 0 Solving 36st + 4s2 + 81t2 = 0 Solving for variable 's'. Factor a trinomial. (2s + 9t)(2s + 9t) = 0Subproblem 1
Set the factor '(2s + 9t)' equal to zero and attempt to solve: Simplifying 2s + 9t = 0 Solving 2s + 9t = 0 Move all terms containing s to the left, all other terms to the right. Add '-9t' to each side of the equation. 2s + 9t + -9t = 0 + -9t Combine like terms: 9t + -9t = 0 2s + 0 = 0 + -9t 2s = 0 + -9t Remove the zero: 2s = -9t Divide each side by '2'. s = -4.5t Simplifying s = -4.5tSubproblem 2
Set the factor '(2s + 9t)' equal to zero and attempt to solve: Simplifying 2s + 9t = 0 Solving 2s + 9t = 0 Move all terms containing s to the left, all other terms to the right. Add '-9t' to each side of the equation. 2s + 9t + -9t = 0 + -9t Combine like terms: 9t + -9t = 0 2s + 0 = 0 + -9t 2s = 0 + -9t Remove the zero: 2s = -9t Divide each side by '2'. s = -4.5t Simplifying s = -4.5tSolution
s = {-4.5t, -4.5t}
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