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Simplifying 0 = -1(16t2 + -288t) Reorder the terms: 0 = -1(-288t + 16t2) 0 = (-288t * -1 + 16t2 * -1) 0 = (288t + -16t2) Solving 0 = 288t + -16t2 Solving for variable 't'. Remove the zero: -288t + 16t2 = 288t + -16t2 + -288t + 16t2 Reorder the terms: -288t + 16t2 = 288t + -288t + -16t2 + 16t2 Combine like terms: 288t + -288t = 0 -288t + 16t2 = 0 + -16t2 + 16t2 -288t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -288t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16t'. 16t(-18 + t) = 0 Ignore the factor 16.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 '(-18 + t)' equal to zero and attempt to solve: Simplifying -18 + t = 0 Solving -18 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + t = 0 + 18 t = 0 + 18 Combine like terms: 0 + 18 = 18 t = 18 Simplifying t = 18Solution
t = {0, 18}
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