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Simplifying t2 + 9t = 6t Reorder the terms: 9t + t2 = 6t Solving 9t + t2 = 6t Solving for variable 't'. Reorder the terms: 9t + -6t + t2 = 6t + -6t Combine like terms: 9t + -6t = 3t 3t + t2 = 6t + -6t Combine like terms: 6t + -6t = 0 3t + t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(3 + t) = 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 '(3 + t)' equal to zero and attempt to solve: Simplifying 3 + t = 0 Solving 3 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t = 0 + -3 t = 0 + -3 Combine like terms: 0 + -3 = -3 t = -3 Simplifying t = -3Solution
t = {0, -3}
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