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Simplifying 4s2t3 + 56s2t2 + 196s2t = 0 Reorder the terms: 196s2t + 56s2t2 + 4s2t3 = 0 Solving 196s2t + 56s2t2 + 4s2t3 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4s2t'. 4s2t(49 + 14t + t2) = 0 Factor a trinomial. 4s2t((7 + t)(7 + t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 's2t' equal to zero and attempt to solve: Simplifying s2t = 0 Solving s2t = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2t = 0 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 '(7 + t)' equal to zero and attempt to solve: Simplifying 7 + t = 0 Solving 7 + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + t = 0 + -7 t = 0 + -7 Combine like terms: 0 + -7 = -7 t = -7 Add '-1t' to each side of the equation. t + -1t = -7 + -1t Combine like terms: t + -1t = 0 0 = -7 + -1t Simplifying 0 = -7 + -1t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(7 + t)' equal to zero and attempt to solve: Simplifying 7 + t = 0 Solving 7 + t = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + t = 0 + -7 t = 0 + -7 Combine like terms: 0 + -7 = -7 t = -7 Add '-1t' to each side of the equation. t + -1t = -7 + -1t Combine like terms: t + -1t = 0 0 = -7 + -1t Simplifying 0 = -7 + -1t 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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