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Simplifying 16t2 + 122t = 0 Reorder the terms: 122t + 16t2 = 0 Solving 122t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(61 + 8t) = 0 Ignore the factor 2.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 '(61 + 8t)' equal to zero and attempt to solve: Simplifying 61 + 8t = 0 Solving 61 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 8t = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 8t = 0 + -61 8t = 0 + -61 Combine like terms: 0 + -61 = -61 8t = -61 Divide each side by '8'. t = -7.625 Simplifying t = -7.625Solution
t = {0, -7.625}
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