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Simplifying 3t2 = 10t Solving 3t2 = 10t Solving for variable 't'. Reorder the terms: -10t + 3t2 = 10t + -10t Combine like terms: 10t + -10t = 0 -10t + 3t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-10 + 3t) = 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 '(-10 + 3t)' equal to zero and attempt to solve: Simplifying -10 + 3t = 0 Solving -10 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3t = 0 + 10 3t = 0 + 10 Combine like terms: 0 + 10 = 10 3t = 10 Divide each side by '3'. t = 3.333333333 Simplifying t = 3.333333333Solution
t = {0, 3.333333333}
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