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Simplifying 2t(12t + -5) = 25 Reorder the terms: 2t(-5 + 12t) = 25 (-5 * 2t + 12t * 2t) = 25 (-10t + 24t2) = 25 Solving -10t + 24t2 = 25 Solving for variable 't'. Reorder the terms: -25 + -10t + 24t2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + -10t + 24t2 = 0 Factor a trinomial. (-5 + -6t)(5 + -4t) = 0Subproblem 1
Set the factor '(-5 + -6t)' equal to zero and attempt to solve: Simplifying -5 + -6t = 0 Solving -5 + -6t = 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 + -6t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6t = 0 + 5 -6t = 0 + 5 Combine like terms: 0 + 5 = 5 -6t = 5 Divide each side by '-6'. t = -0.8333333333 Simplifying t = -0.8333333333Subproblem 2
Set the factor '(5 + -4t)' equal to zero and attempt to solve: Simplifying 5 + -4t = 0 Solving 5 + -4t = 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 + -4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 0 + -5 -4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25Solution
t = {-0.8333333333, 1.25}
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