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Simplifying 2s6 + 11s3t + 12t2 = 0 Reorder the terms: 11s3t + 2s6 + 12t2 = 0 Solving 11s3t + 2s6 + 12t2 = 0 Solving for variable 's'. Factor a trinomial. (2s3 + 3t)(s3 + 4t) = 0Subproblem 1
Set the factor '(2s3 + 3t)' equal to zero and attempt to solve: Simplifying 2s3 + 3t = 0 Solving 2s3 + 3t = 0 Move all terms containing s to the left, all other terms to the right. Add '-3t' to each side of the equation. 2s3 + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 2s3 + 0 = 0 + -3t 2s3 = 0 + -3t Remove the zero: 2s3 = -3t Divide each side by '2'. s3 = -1.5t Simplifying s3 = -1.5t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(s3 + 4t)' equal to zero and attempt to solve: Simplifying s3 + 4t = 0 Solving s3 + 4t = 0 Move all terms containing s to the left, all other terms to the right. Add '-4t' to each side of the equation. s3 + 4t + -4t = 0 + -4t Combine like terms: 4t + -4t = 0 s3 + 0 = 0 + -4t s3 = 0 + -4t Remove the zero: s3 = -4t Simplifying s3 = -4t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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