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Simplifying 0 = -3t2 + 22t Reorder the terms: 0 = 22t + -3t2 Solving 0 = 22t + -3t2 Solving for variable 't'. Remove the zero: -22t + 3t2 = 22t + -3t2 + -22t + 3t2 Reorder the terms: -22t + 3t2 = 22t + -22t + -3t2 + 3t2 Combine like terms: 22t + -22t = 0 -22t + 3t2 = 0 + -3t2 + 3t2 -22t + 3t2 = -3t2 + 3t2 Combine like terms: -3t2 + 3t2 = 0 -22t + 3t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-22 + 3t) = 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 '(-22 + 3t)' equal to zero and attempt to solve: Simplifying -22 + 3t = 0 Solving -22 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 3t = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 3t = 0 + 22 3t = 0 + 22 Combine like terms: 0 + 22 = 22 3t = 22 Divide each side by '3'. t = 7.333333333 Simplifying t = 7.333333333Solution
t = {0, 7.333333333}
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