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Simplifying 16t2 + -20t = 4t Reorder the terms: -20t + 16t2 = 4t Solving -20t + 16t2 = 4t Solving for variable 't'. Reorder the terms: -20t + -4t + 16t2 = 4t + -4t Combine like terms: -20t + -4t = -24t -24t + 16t2 = 4t + -4t Combine like terms: 4t + -4t = 0 -24t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '8t'. 8t(-3 + 2t) = 0 Ignore the factor 8.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 + 2t)' equal to zero and attempt to solve: Simplifying -3 + 2t = 0 Solving -3 + 2t = 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 + 2t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2t = 0 + 3 2t = 0 + 3 Combine like terms: 0 + 3 = 3 2t = 3 Divide each side by '2'. t = 1.5 Simplifying t = 1.5Solution
t = {0, 1.5}
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