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Simplifying 4t(13t + 9) = 0 Reorder the terms: 4t(9 + 13t) = 0 (9 * 4t + 13t * 4t) = 0 (36t + 52t2) = 0 Solving 36t + 52t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(9 + 13t) = 0 Ignore the factor 4.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 '(9 + 13t)' equal to zero and attempt to solve: Simplifying 9 + 13t = 0 Solving 9 + 13t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 13t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 13t = 0 + -9 13t = 0 + -9 Combine like terms: 0 + -9 = -9 13t = -9 Divide each side by '13'. t = -0.6923076923 Simplifying t = -0.6923076923Solution
t = {0, -0.6923076923}
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