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Simplifying 0 = 4t(-4t + 5) Reorder the terms: 0 = 4t(5 + -4t) 0 = (5 * 4t + -4t * 4t) 0 = (20t + -16t2) Solving 0 = 20t + -16t2 Solving for variable 't'. Remove the zero: -20t + 16t2 = 20t + -16t2 + -20t + 16t2 Reorder the terms: -20t + 16t2 = 20t + -20t + -16t2 + 16t2 Combine like terms: 20t + -20t = 0 -20t + 16t2 = 0 + -16t2 + 16t2 -20t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -20t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(-5 + 4t) = 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 '(-5 + 4t)' equal to zero and attempt to solve: Simplifying -5 + 4t = 0 Solving -5 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4t = 0 + 5 4t = 0 + 5 Combine like terms: 0 + 5 = 5 4t = 5 Divide each side by '4'. t = 1.25 Simplifying t = 1.25Solution
t = {0, 1.25}
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