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Simplifying t2 + -13t + -22t = 0 Reorder the terms: -13t + -22t + t2 = 0 Combine like terms: -13t + -22t = -35t -35t + t2 = 0 Solving -35t + t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-35 + 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 '(-35 + t)' equal to zero and attempt to solve: Simplifying -35 + t = 0 Solving -35 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + t = 0 + 35 Combine like terms: -35 + 35 = 0 0 + t = 0 + 35 t = 0 + 35 Combine like terms: 0 + 35 = 35 t = 35 Simplifying t = 35Solution
t = {0, 35}
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