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Simplifying 0 = 50t + -2t3 Solving 0 = 50t + -2t3 Solving for variable 't'. Remove the zero: -50t + 2t3 = 50t + -2t3 + -50t + 2t3 Reorder the terms: -50t + 2t3 = 50t + -50t + -2t3 + 2t3 Combine like terms: 50t + -50t = 0 -50t + 2t3 = 0 + -2t3 + 2t3 -50t + 2t3 = -2t3 + 2t3 Combine like terms: -2t3 + 2t3 = 0 -50t + 2t3 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-25 + t2) = 0 Factor a difference between two squares. 2t((5 + t)(-5 + t)) = 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 '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Simplifying t = -5Subproblem 3
Set the factor '(-5 + t)' equal to zero and attempt to solve: Simplifying -5 + t = 0 Solving -5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + t = 0 + 5 t = 0 + 5 Combine like terms: 0 + 5 = 5 t = 5 Simplifying t = 5Solution
t = {0, -5, 5}
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