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Simplifying 20s2 + 35st + 15t2 = 0 Reorder the terms: 35st + 20s2 + 15t2 = 0 Solving 35st + 20s2 + 15t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(7st + 4s2 + 3t2) = 0 Factor a trinomial. 5((4s + 3t)(s + t)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4s + 3t)' equal to zero and attempt to solve: Simplifying 4s + 3t = 0 Solving 4s + 3t = 0 Move all terms containing s to the left, all other terms to the right. Add '-3t' to each side of the equation. 4s + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 4s + 0 = 0 + -3t 4s = 0 + -3t Remove the zero: 4s = -3t Divide each side by '4'. s = -0.75t Simplifying s = -0.75tSubproblem 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 = {-0.75t, -1t}
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