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Simplifying 0 = 8t + -5t2 Solving 0 = 8t + -5t2 Solving for variable 't'. Remove the zero: -8t + 5t2 = 8t + -5t2 + -8t + 5t2 Reorder the terms: -8t + 5t2 = 8t + -8t + -5t2 + 5t2 Combine like terms: 8t + -8t = 0 -8t + 5t2 = 0 + -5t2 + 5t2 -8t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -8t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-8 + 5t) = 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 '(-8 + 5t)' equal to zero and attempt to solve: Simplifying -8 + 5t = 0 Solving -8 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5t = 0 + 8 5t = 0 + 8 Combine like terms: 0 + 8 = 8 5t = 8 Divide each side by '5'. t = 1.6 Simplifying t = 1.6Solution
t = {0, 1.6}
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