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Simplifying 42t2 + -29t + -5 = 0 Reorder the terms: -5 + -29t + 42t2 = 0 Solving -5 + -29t + 42t2 = 0 Solving for variable 't'. Factor a trinomial. (-1 + -7t)(5 + -6t) = 0Subproblem 1
Set the factor '(-1 + -7t)' equal to zero and attempt to solve: Simplifying -1 + -7t = 0 Solving -1 + -7t = 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 + -7t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7t = 0 + 1 -7t = 0 + 1 Combine like terms: 0 + 1 = 1 -7t = 1 Divide each side by '-7'. t = -0.1428571429 Simplifying t = -0.1428571429Subproblem 2
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 = 0.8333333333Solution
t = {-0.1428571429, 0.8333333333}
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