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Simplifying 5t(8t + 3) = 0 Reorder the terms: 5t(3 + 8t) = 0 (3 * 5t + 8t * 5t) = 0 (15t + 40t2) = 0 Solving 15t + 40t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5t'. 5t(3 + 8t) = 0 Ignore the factor 5.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 '(3 + 8t)' equal to zero and attempt to solve: Simplifying 3 + 8t = 0 Solving 3 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8t = 0 + -3 8t = 0 + -3 Combine like terms: 0 + -3 = -3 8t = -3 Divide each side by '8'. t = -0.375 Simplifying t = -0.375Solution
t = {0, -0.375}
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