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Simplifying 480 = -16t2 + 68t + 480 Reorder the terms: 480 = 480 + 68t + -16t2 Add '-480' to each side of the equation. 480 + -480 = 480 + 68t + -480 + -16t2 Combine like terms: 480 + -480 = 0 0 = 480 + 68t + -480 + -16t2 Reorder the terms: 0 = 480 + -480 + 68t + -16t2 Combine like terms: 480 + -480 = 0 0 = 0 + 68t + -16t2 0 = 68t + -16t2 Solving 0 = 68t + -16t2 Solving for variable 't'. Remove the zero: -68t + 16t2 = 68t + -16t2 + -68t + 16t2 Reorder the terms: -68t + 16t2 = 68t + -68t + -16t2 + 16t2 Combine like terms: 68t + -68t = 0 -68t + 16t2 = 0 + -16t2 + 16t2 -68t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -68t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(-17 + 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 '(-17 + 4t)' equal to zero and attempt to solve: Simplifying -17 + 4t = 0 Solving -17 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4t = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 4t = 0 + 17 4t = 0 + 17 Combine like terms: 0 + 17 = 17 4t = 17 Divide each side by '4'. t = 4.25 Simplifying t = 4.25Solution
t = {0, 4.25}
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