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Simplifying (9t + 4t)(5t + -15) = 0 Combine like terms: 9t + 4t = 13t (13t)(5t + -15) = 0 Remove parenthesis around (13t) 13t(5t + -15) = 0 Reorder the terms: 13t(-15 + 5t) = 0 (-15 * 13t + 5t * 13t) = 0 (-195t + 65t2) = 0 Solving -195t + 65t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '65t'. 65t(-3 + t) = 0 Ignore the factor 65.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 + t)' equal to zero and attempt to solve: Simplifying -3 + t = 0 Solving -3 + t = 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 + t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + t = 0 + 3 t = 0 + 3 Combine like terms: 0 + 3 = 3 t = 3 Simplifying t = 3Solution
t = {0, 3}
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