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Simplifying 2t2 = 30t Solving 2t2 = 30t Solving for variable 't'. Reorder the terms: -30t + 2t2 = 30t + -30t Combine like terms: 30t + -30t = 0 -30t + 2t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-15 + t) = 0 Ignore the factor 2.Subproblem 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 '(-15 + t)' equal to zero and attempt to solve: Simplifying -15 + t = 0 Solving -15 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + t = 0 + 15 t = 0 + 15 Combine like terms: 0 + 15 = 15 t = 15 Simplifying t = 15Solution
t = {0, 15}
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