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Simplifying 18t2 + -33t + 5 = 0 Reorder the terms: 5 + -33t + 18t2 = 0 Solving 5 + -33t + 18t2 = 0 Solving for variable 't'. Factor a trinomial. (1 + -6t)(5 + -3t) = 0Subproblem 1
Set the factor '(1 + -6t)' equal to zero and attempt to solve: Simplifying 1 + -6t = 0 Solving 1 + -6t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6t = 0 + -1 -6t = 0 + -1 Combine like terms: 0 + -1 = -1 -6t = -1 Divide each side by '-6'. t = 0.1666666667 Simplifying t = 0.1666666667Subproblem 2
Set the factor '(5 + -3t)' equal to zero and attempt to solve: Simplifying 5 + -3t = 0 Solving 5 + -3t = 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 + -3t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3t = 0 + -5 -3t = 0 + -5 Combine like terms: 0 + -5 = -5 -3t = -5 Divide each side by '-3'. t = 1.666666667 Simplifying t = 1.666666667Solution
t = {0.1666666667, 1.666666667}
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