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Simplifying 0 = 24t + -9t2 Solving 0 = 24t + -9t2 Solving for variable 't'. Remove the zero: -24t + 9t2 = 24t + -9t2 + -24t + 9t2 Reorder the terms: -24t + 9t2 = 24t + -24t + -9t2 + 9t2 Combine like terms: 24t + -24t = 0 -24t + 9t2 = 0 + -9t2 + 9t2 -24t + 9t2 = -9t2 + 9t2 Combine like terms: -9t2 + 9t2 = 0 -24t + 9t2 = 0 Factor out the Greatest Common Factor (GCF), '3t'. 3t(-8 + 3t) = 0 Ignore the factor 3.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 '(-8 + 3t)' equal to zero and attempt to solve: Simplifying -8 + 3t = 0 Solving -8 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3t = 0 + 8 3t = 0 + 8 Combine like terms: 0 + 8 = 8 3t = 8 Divide each side by '3'. t = 2.666666667 Simplifying t = 2.666666667Solution
t = {0, 2.666666667}
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