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Simplifying -16t2 + 16t + 192 = 192 Reorder the terms: 192 + 16t + -16t2 = 192 Add '-192' to each side of the equation. 192 + 16t + -192 + -16t2 = 192 + -192 Reorder the terms: 192 + -192 + 16t + -16t2 = 192 + -192 Combine like terms: 192 + -192 = 0 0 + 16t + -16t2 = 192 + -192 16t + -16t2 = 192 + -192 Combine like terms: 192 + -192 = 0 16t + -16t2 = 0 Solving 16t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16t'. 16t(1 + -1t) = 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 '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Solution
t = {0, 1}
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