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Simplifying 6t2 = 19t Solving 6t2 = 19t Solving for variable 't'. Reorder the terms: -19t + 6t2 = 19t + -19t Combine like terms: 19t + -19t = 0 -19t + 6t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-19 + 6t) = 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 '(-19 + 6t)' equal to zero and attempt to solve: Simplifying -19 + 6t = 0 Solving -19 + 6t = 0 Move all terms containing t to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 6t = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 6t = 0 + 19 6t = 0 + 19 Combine like terms: 0 + 19 = 19 6t = 19 Divide each side by '6'. t = 3.166666667 Simplifying t = 3.166666667Solution
t = {0, 3.166666667}
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