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Simplifying 8t + -20t + t2 = 0 Combine like terms: 8t + -20t = -12t -12t + t2 = 0 Solving -12t + t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-12 + 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 '(-12 + t)' equal to zero and attempt to solve: Simplifying -12 + t = 0 Solving -12 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + t = 0 + 12 t = 0 + 12 Combine like terms: 0 + 12 = 12 t = 12 Simplifying t = 12Solution
t = {0, 12}
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