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Simplifying 0 = 12t + -2t2 Solving 0 = 12t + -2t2 Solving for variable 't'. Remove the zero: -12t + 2t2 = 12t + -2t2 + -12t + 2t2 Reorder the terms: -12t + 2t2 = 12t + -12t + -2t2 + 2t2 Combine like terms: 12t + -12t = 0 -12t + 2t2 = 0 + -2t2 + 2t2 -12t + 2t2 = -2t2 + 2t2 Combine like terms: -2t2 + 2t2 = 0 -12t + 2t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-6 + t) = 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 '(-6 + t)' equal to zero and attempt to solve: Simplifying -6 + t = 0 Solving -6 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + t = 0 + 6 t = 0 + 6 Combine like terms: 0 + 6 = 6 t = 6 Simplifying t = 6Solution
t = {0, 6}
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