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Simplifying 60t = 16t + -1t2 Solving 60t = 16t + -1t2 Solving for variable 't'. Combine like terms: 60t + -16t = 44t 44t + t2 = 16t + -1t2 + -16t + t2 Reorder the terms: 44t + t2 = 16t + -16t + -1t2 + t2 Combine like terms: 16t + -16t = 0 44t + t2 = 0 + -1t2 + t2 44t + t2 = -1t2 + t2 Combine like terms: -1t2 + t2 = 0 44t + t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(44 + t) = 0Subproblem 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 '(44 + t)' equal to zero and attempt to solve: Simplifying 44 + t = 0 Solving 44 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + t = 0 + -44 Combine like terms: 44 + -44 = 0 0 + t = 0 + -44 t = 0 + -44 Combine like terms: 0 + -44 = -44 t = -44 Simplifying t = -44Solution
t = {0, -44}
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