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Simplifying 3t(7t + 4) = 0 Reorder the terms: 3t(4 + 7t) = 0 (4 * 3t + 7t * 3t) = 0 (12t + 21t2) = 0 Solving 12t + 21t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(4 + 7t) = 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 '(4 + 7t)' equal to zero and attempt to solve: Simplifying 4 + 7t = 0 Solving 4 + 7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7t = 0 + -4 7t = 0 + -4 Combine like terms: 0 + -4 = -4 7t = -4 Divide each side by '7'. t = -0.5714285714 Simplifying t = -0.5714285714Solution
t = {0, -0.5714285714}
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