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Simplifying t = 144t + -16t2 Solving t = 144t + -16t2 Solving for variable 't'. Combine like terms: t + -144t = -143t -143t + 16t2 = 144t + -16t2 + -144t + 16t2 Reorder the terms: -143t + 16t2 = 144t + -144t + -16t2 + 16t2 Combine like terms: 144t + -144t = 0 -143t + 16t2 = 0 + -16t2 + 16t2 -143t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -143t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-143 + 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 '(-143 + 16t)' equal to zero and attempt to solve: Simplifying -143 + 16t = 0 Solving -143 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '143' to each side of the equation. -143 + 143 + 16t = 0 + 143 Combine like terms: -143 + 143 = 0 0 + 16t = 0 + 143 16t = 0 + 143 Combine like terms: 0 + 143 = 143 16t = 143 Divide each side by '16'. t = 8.9375 Simplifying t = 8.9375Solution
t = {0, 8.9375}
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