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Simplifying -6t2 + 20t = 0 Reorder the terms: 20t + -6t2 = 0 Solving 20t + -6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(10 + -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 '(10 + -3t)' equal to zero and attempt to solve: Simplifying 10 + -3t = 0 Solving 10 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = 0 + -10 -3t = 0 + -10 Combine like terms: 0 + -10 = -10 -3t = -10 Divide each side by '-3'. t = 3.333333333 Simplifying t = 3.333333333Solution
t = {0, 3.333333333}
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