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Simplifying 8t3 = 98t Solving 8t3 = 98t Solving for variable 't'. Reorder the terms: -98t + 8t3 = 98t + -98t Combine like terms: 98t + -98t = 0 -98t + 8t3 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-49 + 4t2) = 0 Factor a difference between two squares. 2t((7 + 2t)(-7 + 2t)) = 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 '(7 + 2t)' equal to zero and attempt to solve: Simplifying 7 + 2t = 0 Solving 7 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = 0 + -7 2t = 0 + -7 Combine like terms: 0 + -7 = -7 2t = -7 Divide each side by '2'. t = -3.5 Simplifying t = -3.5Subproblem 3
Set the factor '(-7 + 2t)' equal to zero and attempt to solve: Simplifying -7 + 2t = 0 Solving -7 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2t = 0 + 7 2t = 0 + 7 Combine like terms: 0 + 7 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5Solution
t = {0, -3.5, 3.5}
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