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Simplifying 0 = -16t2 + 67t + 0 Reorder the terms: 0 = 0 + 67t + -16t2 Remove the zero: 0 = 67t + -16t2 Solving 0 = 67t + -16t2 Solving for variable 't'. Remove the zero: -67t + 16t2 = 67t + -16t2 + -67t + 16t2 Reorder the terms: -67t + 16t2 = 67t + -67t + -16t2 + 16t2 Combine like terms: 67t + -67t = 0 -67t + 16t2 = 0 + -16t2 + 16t2 -67t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -67t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-67 + 16t) = 0Subproblem 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 '(-67 + 16t)' equal to zero and attempt to solve: Simplifying -67 + 16t = 0 Solving -67 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + 16t = 0 + 67 Combine like terms: -67 + 67 = 0 0 + 16t = 0 + 67 16t = 0 + 67 Combine like terms: 0 + 67 = 67 16t = 67 Divide each side by '16'. t = 4.1875 Simplifying t = 4.1875Solution
t = {0, 4.1875}
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