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Simplifying 5t2 = 9t Solving 5t2 = 9t Solving for variable 't'. Reorder the terms: -9t + 5t2 = 9t + -9t Combine like terms: 9t + -9t = 0 -9t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-9 + 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 '(-9 + 5t)' equal to zero and attempt to solve: Simplifying -9 + 5t = 0 Solving -9 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5t = 0 + 9 5t = 0 + 9 Combine like terms: 0 + 9 = 9 5t = 9 Divide each side by '5'. t = 1.8 Simplifying t = 1.8Solution
t = {0, 1.8}
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