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Simplifying -16t2 + 1192t = 0 Reorder the terms: 1192t + -16t2 = 0 Solving 1192t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '8t'. 8t(149 + -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 '(149 + -2t)' equal to zero and attempt to solve: Simplifying 149 + -2t = 0 Solving 149 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-149' to each side of the equation. 149 + -149 + -2t = 0 + -149 Combine like terms: 149 + -149 = 0 0 + -2t = 0 + -149 -2t = 0 + -149 Combine like terms: 0 + -149 = -149 -2t = -149 Divide each side by '-2'. t = 74.5 Simplifying t = 74.5Solution
t = {0, 74.5}
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