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Simplifying -162s2 + 360st + -200t2 = 0 Reorder the terms: 360st + -162s2 + -200t2 = 0 Solving 360st + -162s2 + -200t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(180st + -81s2 + -100t2) = 0 Factor a trinomial. 2((-9s + 10t)(9s + -10t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9s + 10t)' equal to zero and attempt to solve: Simplifying -9s + 10t = 0 Solving -9s + 10t = 0 Move all terms containing s to the left, all other terms to the right. Add '-10t' to each side of the equation. -9s + 10t + -10t = 0 + -10t Combine like terms: 10t + -10t = 0 -9s + 0 = 0 + -10t -9s = 0 + -10t Remove the zero: -9s = -10t Divide each side by '-9'. s = 1.111111111t Simplifying s = 1.111111111tSubproblem 2
Set the factor '(9s + -10t)' equal to zero and attempt to solve: Simplifying 9s + -10t = 0 Solving 9s + -10t = 0 Move all terms containing s to the left, all other terms to the right. Add '10t' to each side of the equation. 9s + -10t + 10t = 0 + 10t Combine like terms: -10t + 10t = 0 9s + 0 = 0 + 10t 9s = 0 + 10t Remove the zero: 9s = 10t Divide each side by '9'. s = 1.111111111t Simplifying s = 1.111111111tSolution
s = {1.111111111t, 1.111111111t}
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