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Simplifying t = -16t2 + -8t Reorder the terms: t = -8t + -16t2 Solving t = -8t + -16t2 Solving for variable 't'. Combine like terms: t + 8t = 9t 9t + 16t2 = -8t + -16t2 + 8t + 16t2 Reorder the terms: 9t + 16t2 = -8t + 8t + -16t2 + 16t2 Combine like terms: -8t + 8t = 0 9t + 16t2 = 0 + -16t2 + 16t2 9t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 9t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(9 + 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 '(9 + 16t)' equal to zero and attempt to solve: Simplifying 9 + 16t = 0 Solving 9 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 16t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 16t = 0 + -9 16t = 0 + -9 Combine like terms: 0 + -9 = -9 16t = -9 Divide each side by '16'. t = -0.5625 Simplifying t = -0.5625Solution
t = {0, -0.5625}
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