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Simplifying 5t2 = 36t Solving 5t2 = 36t Solving for variable 't'. Reorder the terms: -36t + 5t2 = 36t + -36t Combine like terms: 36t + -36t = 0 -36t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-36 + 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 '(-36 + 5t)' equal to zero and attempt to solve: Simplifying -36 + 5t = 0 Solving -36 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 5t = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 5t = 0 + 36 5t = 0 + 36 Combine like terms: 0 + 36 = 36 5t = 36 Divide each side by '5'. t = 7.2 Simplifying t = 7.2Solution
t = {0, 7.2}
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