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Simplifying 15t(t + -24) = 0 Reorder the terms: 15t(-24 + t) = 0 (-24 * 15t + t * 15t) = 0 (-360t + 15t2) = 0 Solving -360t + 15t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '15t'. 15t(-24 + t) = 0 Ignore the factor 15.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 '(-24 + t)' equal to zero and attempt to solve: Simplifying -24 + t = 0 Solving -24 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + t = 0 + 24 t = 0 + 24 Combine like terms: 0 + 24 = 24 t = 24 Simplifying t = 24Solution
t = {0, 24}
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