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Simplifying t3 + 18t + 81t = 0 Reorder the terms: 18t + 81t + t3 = 0 Combine like terms: 18t + 81t = 99t 99t + t3 = 0 Solving 99t + t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(99 + t2) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(99 + t2)' equal to zero and attempt to solve: Simplifying 99 + t2 = 0 Solving 99 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + t2 = 0 + -99 Combine like terms: 99 + -99 = 0 0 + t2 = 0 + -99 t2 = 0 + -99 Combine like terms: 0 + -99 = -99 t2 = -99 Simplifying t2 = -99 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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