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Simplifying (3 + 5t)(4t) = 0 Remove parenthesis around (4t) (3 + 5t) * 4t = 0 Reorder the terms for easier multiplication: 4t(3 + 5t) = 0 (3 * 4t + 5t * 4t) = 0 (12t + 20t2) = 0 Solving 12t + 20t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(3 + 5t) = 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 '(3 + 5t)' equal to zero and attempt to solve: Simplifying 3 + 5t = 0 Solving 3 + 5t = 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 + 5t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5t = 0 + -3 5t = 0 + -3 Combine like terms: 0 + -3 = -3 5t = -3 Divide each side by '5'. t = -0.6 Simplifying t = -0.6Solution
t = {0, -0.6}
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