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Simplifying -18s2 + -48st + -32t2 = 0 Reorder the terms: -48st + -18s2 + -32t2 = 0 Solving -48st + -18s2 + -32t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '-2'. -2(24st + 9s2 + 16t2) = 0 Factor a trinomial. -2((3s + 4t)(3s + 4t)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(3s + 4t)' equal to zero and attempt to solve: Simplifying 3s + 4t = 0 Solving 3s + 4t = 0 Move all terms containing s to the left, all other terms to the right. Add '-4t' to each side of the equation. 3s + 4t + -4t = 0 + -4t Combine like terms: 4t + -4t = 0 3s + 0 = 0 + -4t 3s = 0 + -4t Remove the zero: 3s = -4t Divide each side by '3'. s = -1.333333333t Simplifying s = -1.333333333tSubproblem 2
Set the factor '(3s + 4t)' equal to zero and attempt to solve: Simplifying 3s + 4t = 0 Solving 3s + 4t = 0 Move all terms containing s to the left, all other terms to the right. Add '-4t' to each side of the equation. 3s + 4t + -4t = 0 + -4t Combine like terms: 4t + -4t = 0 3s + 0 = 0 + -4t 3s = 0 + -4t Remove the zero: 3s = -4t Divide each side by '3'. s = -1.333333333t Simplifying s = -1.333333333tSolution
s = {-1.333333333t, -1.333333333t}
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