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Simplifying 3t2 = 21t Solving 3t2 = 21t Solving for variable 't'. Reorder the terms: -21t + 3t2 = 21t + -21t Combine like terms: 21t + -21t = 0 -21t + 3t2 = 0 Factor out the Greatest Common Factor (GCF), '3t'. 3t(-7 + t) = 0 Ignore the factor 3.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 '(-7 + t)' equal to zero and attempt to solve: Simplifying -7 + t = 0 Solving -7 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + t = 0 + 7 t = 0 + 7 Combine like terms: 0 + 7 = 7 t = 7 Simplifying t = 7Solution
t = {0, 7}
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