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Simplifying t3 = 196t Solving t3 = 196t Solving for variable 't'. Reorder the terms: -196t + t3 = 196t + -196t Combine like terms: 196t + -196t = 0 -196t + t3 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-196 + t2) = 0 Factor a difference between two squares. t((14 + t)(-14 + 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 '(14 + t)' equal to zero and attempt to solve: Simplifying 14 + t = 0 Solving 14 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + t = 0 + -14 t = 0 + -14 Combine like terms: 0 + -14 = -14 t = -14 Simplifying t = -14Subproblem 3
Set the factor '(-14 + t)' equal to zero and attempt to solve: Simplifying -14 + t = 0 Solving -14 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + t = 0 + 14 t = 0 + 14 Combine like terms: 0 + 14 = 14 t = 14 Simplifying t = 14Solution
t = {0, -14, 14}
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