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Simplifying 128t + -6t2 = 0 Solving 128t + -6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(64 + -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 '(64 + -3t)' equal to zero and attempt to solve: Simplifying 64 + -3t = 0 Solving 64 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -3t = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -3t = 0 + -64 -3t = 0 + -64 Combine like terms: 0 + -64 = -64 -3t = -64 Divide each side by '-3'. t = 21.33333333 Simplifying t = 21.33333333Solution
t = {0, 21.33333333}
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