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Simplifying 3t + 9t2 = 29t Solving 3t + 9t2 = 29t Solving for variable 't'. Reorder the terms: 3t + -29t + 9t2 = 29t + -29t Combine like terms: 3t + -29t = -26t -26t + 9t2 = 29t + -29t Combine like terms: 29t + -29t = 0 -26t + 9t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-26 + 9t) = 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 '(-26 + 9t)' equal to zero and attempt to solve: Simplifying -26 + 9t = 0 Solving -26 + 9t = 0 Move all terms containing t to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 9t = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 9t = 0 + 26 9t = 0 + 26 Combine like terms: 0 + 26 = 26 9t = 26 Divide each side by '9'. t = 2.888888889 Simplifying t = 2.888888889Solution
t = {0, 2.888888889}
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