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Simplifying 0 = 24t + -6t2 Solving 0 = 24t + -6t2 Solving for variable 't'. Remove the zero: -24t + 6t2 = 24t + -6t2 + -24t + 6t2 Reorder the terms: -24t + 6t2 = 24t + -24t + -6t2 + 6t2 Combine like terms: 24t + -24t = 0 -24t + 6t2 = 0 + -6t2 + 6t2 -24t + 6t2 = -6t2 + 6t2 Combine like terms: -6t2 + 6t2 = 0 -24t + 6t2 = 0 Factor out the Greatest Common Factor (GCF), '6t'. 6t(-4 + 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 '(-4 + t)' equal to zero and attempt to solve: Simplifying -4 + t = 0 Solving -4 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + t = 0 + 4 t = 0 + 4 Combine like terms: 0 + 4 = 4 t = 4 Simplifying t = 4Solution
t = {0, 4}
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