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Simplifying 4s2 + 64st + -144t2 = 0 Reorder the terms: 64st + 4s2 + -144t2 = 0 Solving 64st + 4s2 + -144t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(16st + s2 + -36t2) = 0 Factor a trinomial. 4((s + -2t)(s + 18t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(s + -2t)' equal to zero and attempt to solve: Simplifying s + -2t = 0 Solving s + -2t = 0 Move all terms containing s to the left, all other terms to the right. Add '2t' to each side of the equation. s + -2t + 2t = 0 + 2t Combine like terms: -2t + 2t = 0 s + 0 = 0 + 2t s = 0 + 2t Remove the zero: s = 2t Simplifying s = 2tSubproblem 2
Set the factor '(s + 18t)' equal to zero and attempt to solve: Simplifying s + 18t = 0 Solving s + 18t = 0 Move all terms containing s to the left, all other terms to the right. Add '-18t' to each side of the equation. s + 18t + -18t = 0 + -18t Combine like terms: 18t + -18t = 0 s + 0 = 0 + -18t s = 0 + -18t Remove the zero: s = -18t Simplifying s = -18tSolution
s = {2t, -18t}
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