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Simplifying 5t2 = 12t Solving 5t2 = 12t Solving for variable 't'. Reorder the terms: -12t + 5t2 = 12t + -12t Combine like terms: 12t + -12t = 0 -12t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-12 + 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 '(-12 + 5t)' equal to zero and attempt to solve: Simplifying -12 + 5t = 0 Solving -12 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5t = 0 + 12 5t = 0 + 12 Combine like terms: 0 + 12 = 12 5t = 12 Divide each side by '5'. t = 2.4 Simplifying t = 2.4Solution
t = {0, 2.4}
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