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Simplifying 10s2 + 4st + -6t2 = 0 Reorder the terms: 4st + 10s2 + -6t2 = 0 Solving 4st + 10s2 + -6t2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(2st + 5s2 + -3t2) = 0 Factor a trinomial. 2((5s + -3t)(s + t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5s + -3t)' equal to zero and attempt to solve: Simplifying 5s + -3t = 0 Solving 5s + -3t = 0 Move all terms containing s to the left, all other terms to the right. Add '3t' to each side of the equation. 5s + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 5s + 0 = 0 + 3t 5s = 0 + 3t Remove the zero: 5s = 3t Divide each side by '5'. s = 0.6t Simplifying s = 0.6tSubproblem 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 = {0.6t, -1t}
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