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Simplifying 36s2 + 64st + 28t2 = 0 Reorder the terms: 64st + 36s2 + 28t2 = 0 Solving 64st + 36s2 + 28t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(16st + 9s2 + 7t2) = 0 Factor a trinomial. 4((9s + 7t)(s + t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9s + 7t)' equal to zero and attempt to solve: Simplifying 9s + 7t = 0 Solving 9s + 7t = 0 Move all terms containing s to the left, all other terms to the right. Add '-7t' to each side of the equation. 9s + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 9s + 0 = 0 + -7t 9s = 0 + -7t Remove the zero: 9s = -7t Divide each side by '9'. s = -0.7777777778t Simplifying s = -0.7777777778tSubproblem 2
Set the factor '(s + t)' equal to zero and attempt to solve: Simplifying s + t = 0 Solving s + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-1t' to each side of the equation. s + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 s + 0 = 0 + -1t s = 0 + -1t Remove the zero: s = -1t Simplifying s = -1tSolution
s = {-0.7777777778t, -1t}
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