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Simplifying 0 = -3t2 + 36t + 0 Reorder the terms: 0 = 0 + 36t + -3t2 Remove the zero: 0 = 36t + -3t2 Solving 0 = 36t + -3t2 Solving for variable 't'. Remove the zero: -36t + 3t2 = 36t + -3t2 + -36t + 3t2 Reorder the terms: -36t + 3t2 = 36t + -36t + -3t2 + 3t2 Combine like terms: 36t + -36t = 0 -36t + 3t2 = 0 + -3t2 + 3t2 -36t + 3t2 = -3t2 + 3t2 Combine like terms: -3t2 + 3t2 = 0 -36t + 3t2 = 0 Factor out the Greatest Common Factor (GCF), '3t'. 3t(-12 + t) = 0 Ignore the factor 3.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 '(-12 + t)' equal to zero and attempt to solve: Simplifying -12 + t = 0 Solving -12 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + t = 0 + 12 t = 0 + 12 Combine like terms: 0 + 12 = 12 t = 12 Simplifying t = 12Solution
t = {0, 12}
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