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Simplifying 4t3 = -27t Solving 4t3 = -27t Solving for variable 't'. Reorder the terms: 27t + 4t3 = -27t + 27t Combine like terms: -27t + 27t = 0 27t + 4t3 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(27 + 4t2) = 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 '(27 + 4t2)' equal to zero and attempt to solve: Simplifying 27 + 4t2 = 0 Solving 27 + 4t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4t2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 4t2 = 0 + -27 4t2 = 0 + -27 Combine like terms: 0 + -27 = -27 4t2 = -27 Divide each side by '4'. t2 = -6.75 Simplifying t2 = -6.75 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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