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Simplifying 42t2 + -43t + -7 = 0 Reorder the terms: -7 + -43t + 42t2 = 0 Solving -7 + -43t + 42t2 = 0 Solving for variable 't'. Factor a trinomial. (-1 + -7t)(7 + -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 '(7 + -6t)' equal to zero and attempt to solve: Simplifying 7 + -6t = 0 Solving 7 + -6t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6t = 0 + -7 -6t = 0 + -7 Combine like terms: 0 + -7 = -7 -6t = -7 Divide each side by '-6'. t = 1.166666667 Simplifying t = 1.166666667Solution
t = {-0.1428571429, 1.166666667}
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