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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 = -7t -7t + 16t2 = 8t + -16t2 + -8t + 16t2 Reorder the terms: -7t + 16t2 = 8t + -8t + -16t2 + 16t2 Combine like terms: 8t + -8t = 0 -7t + 16t2 = 0 + -16t2 + 16t2 -7t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -7t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-7 + 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 '(-7 + 16t)' equal to zero and attempt to solve: Simplifying -7 + 16t = 0 Solving -7 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 16t = 0 + 7 16t = 0 + 7 Combine like terms: 0 + 7 = 7 16t = 7 Divide each side by '16'. t = 0.4375 Simplifying t = 0.4375Solution
t = {0, 0.4375}
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