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Simplifying 5t(13t + 8) = 0 Reorder the terms: 5t(8 + 13t) = 0 (8 * 5t + 13t * 5t) = 0 (40t + 65t2) = 0 Solving 40t + 65t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5t'. 5t(8 + 13t) = 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 '(8 + 13t)' equal to zero and attempt to solve: Simplifying 8 + 13t = 0 Solving 8 + 13t = 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 + 13t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13t = 0 + -8 13t = 0 + -8 Combine like terms: 0 + -8 = -8 13t = -8 Divide each side by '13'. t = -0.6153846154 Simplifying t = -0.6153846154Solution
t = {0, -0.6153846154}
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