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Simplifying 3t2 + -26t + 40 = 0 Reorder the terms: 40 + -26t + 3t2 = 0 Solving 40 + -26t + 3t2 = 0 Solving for variable 't'. Factor a trinomial. (2 + -1t)(20 + -3t) = 0Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Subproblem 2
Set the factor '(20 + -3t)' equal to zero and attempt to solve: Simplifying 20 + -3t = 0 Solving 20 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3t = 0 + -20 -3t = 0 + -20 Combine like terms: 0 + -20 = -20 -3t = -20 Divide each side by '-3'. t = 6.666666667 Simplifying t = 6.666666667Solution
t = {2, 6.666666667}
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