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Simplifying t = -5t2 + 40t Reorder the terms: t = 40t + -5t2 Solving t = 40t + -5t2 Solving for variable 't'. Combine like terms: t + -40t = -39t -39t + 5t2 = 40t + -5t2 + -40t + 5t2 Reorder the terms: -39t + 5t2 = 40t + -40t + -5t2 + 5t2 Combine like terms: 40t + -40t = 0 -39t + 5t2 = 0 + -5t2 + 5t2 -39t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -39t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-39 + 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 '(-39 + 5t)' equal to zero and attempt to solve: Simplifying -39 + 5t = 0 Solving -39 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 5t = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 5t = 0 + 39 5t = 0 + 39 Combine like terms: 0 + 39 = 39 5t = 39 Divide each side by '5'. t = 7.8 Simplifying t = 7.8Solution
t = {0, 7.8}
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