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Simplifying 0 = 2t(-3t + 20) Reorder the terms: 0 = 2t(20 + -3t) 0 = (20 * 2t + -3t * 2t) 0 = (40t + -6t2) Solving 0 = 40t + -6t2 Solving for variable 't'. Remove the zero: -40t + 6t2 = 40t + -6t2 + -40t + 6t2 Reorder the terms: -40t + 6t2 = 40t + -40t + -6t2 + 6t2 Combine like terms: 40t + -40t = 0 -40t + 6t2 = 0 + -6t2 + 6t2 -40t + 6t2 = -6t2 + 6t2 Combine like terms: -6t2 + 6t2 = 0 -40t + 6t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-20 + 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 '(-20 + 3t)' equal to zero and attempt to solve: Simplifying -20 + 3t = 0 Solving -20 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3t = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 3t = 0 + 20 3t = 0 + 20 Combine like terms: 0 + 20 = 20 3t = 20 Divide each side by '3'. t = 6.666666667 Simplifying t = 6.666666667Solution
t = {0, 6.666666667}
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