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Simplifying 12t2 + -20t + -25 = 0 Reorder the terms: -25 + -20t + 12t2 = 0 Solving -25 + -20t + 12t2 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -6t)(5 + -2t) = 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 + -2t)' equal to zero and attempt to solve: Simplifying 5 + -2t = 0 Solving 5 + -2t = 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 + -2t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 0 + -5 -2t = 0 + -5 Combine like terms: 0 + -5 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5Solution
t = {-0.8333333333, 2.5}
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