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Simplifying 2t2 = 23t Solving 2t2 = 23t Solving for variable 't'. Reorder the terms: -23t + 2t2 = 23t + -23t Combine like terms: 23t + -23t = 0 -23t + 2t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-23 + 2t) = 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 '(-23 + 2t)' equal to zero and attempt to solve: Simplifying -23 + 2t = 0 Solving -23 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 2t = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 2t = 0 + 23 2t = 0 + 23 Combine like terms: 0 + 23 = 23 2t = 23 Divide each side by '2'. t = 11.5 Simplifying t = 11.5Solution
t = {0, 11.5}
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