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Simplifying 6t2 + -10t = 0 Reorder the terms: -10t + 6t2 = 0 Solving -10t + 6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(-5 + 3t) = 0 Ignore the factor 2.Subproblem 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 '(-5 + 3t)' equal to zero and attempt to solve: Simplifying -5 + 3t = 0 Solving -5 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3t = 0 + 5 3t = 0 + 5 Combine like terms: 0 + 5 = 5 3t = 5 Divide each side by '3'. t = 1.666666667 Simplifying t = 1.666666667Solution
t = {0, 1.666666667}
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