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Simplifying 3t(8t + -5) = 0 Reorder the terms: 3t(-5 + 8t) = 0 (-5 * 3t + 8t * 3t) = 0 (-15t + 24t2) = 0 Solving -15t + 24t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(-5 + 8t) = 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 '(-5 + 8t)' equal to zero and attempt to solve: Simplifying -5 + 8t = 0 Solving -5 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8t = 0 + 5 8t = 0 + 5 Combine like terms: 0 + 5 = 5 8t = 5 Divide each side by '8'. t = 0.625 Simplifying t = 0.625Solution
t = {0, 0.625}
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