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Simplifying 6t2 = -54t Solving 6t2 = -54t Solving for variable 't'. Reorder the terms: 54t + 6t2 = -54t + 54t Combine like terms: -54t + 54t = 0 54t + 6t2 = 0 Factor out the Greatest Common Factor (GCF), '6t'. 6t(9 + t) = 0 Ignore the factor 6.Subproblem 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 '(9 + t)' equal to zero and attempt to solve: Simplifying 9 + t = 0 Solving 9 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + t = 0 + -9 t = 0 + -9 Combine like terms: 0 + -9 = -9 t = -9 Simplifying t = -9Solution
t = {0, -9}
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