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Simplifying -16t2 + 24t + 16 = 16 Reorder the terms: 16 + 24t + -16t2 = 16 Add '-16' to each side of the equation. 16 + 24t + -16 + -16t2 = 16 + -16 Reorder the terms: 16 + -16 + 24t + -16t2 = 16 + -16 Combine like terms: 16 + -16 = 0 0 + 24t + -16t2 = 16 + -16 24t + -16t2 = 16 + -16 Combine like terms: 16 + -16 = 0 24t + -16t2 = 0 Solving 24t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '8t'. 8t(3 + -2t) = 0 Ignore the factor 8.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 '(3 + -2t)' equal to zero and attempt to solve: Simplifying 3 + -2t = 0 Solving 3 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 0 + -3 -2t = 0 + -3 Combine like terms: 0 + -3 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5Solution
t = {0, 1.5}
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