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Simplifying 15t2 + 2ts + -1s2 = 0 Reorder the terms: 2st + -1s2 + 15t2 = 0 Solving 2st + -1s2 + 15t2 = 0 Solving for variable 's'. Factor a trinomial. (-1s + -3t)(s + -5t) = 0Subproblem 1
Set the factor '(-1s + -3t)' equal to zero and attempt to solve: Simplifying -1s + -3t = 0 Solving -1s + -3t = 0 Move all terms containing s to the left, all other terms to the right. Add '3t' to each side of the equation. -1s + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 -1s + 0 = 0 + 3t -1s = 0 + 3t Remove the zero: -1s = 3t Divide each side by '-1'. s = -3t Simplifying s = -3tSubproblem 2
Set the factor '(s + -5t)' equal to zero and attempt to solve: Simplifying s + -5t = 0 Solving s + -5t = 0 Move all terms containing s to the left, all other terms to the right. Add '5t' to each side of the equation. s + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 s + 0 = 0 + 5t s = 0 + 5t Remove the zero: s = 5t Simplifying s = 5tSolution
s = {-3t, 5t}
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