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Simplifying -7t2 + 20t + 3 = 0 Reorder the terms: 3 + 20t + -7t2 = 0 Solving 3 + 20t + -7t2 = 0 Solving for variable 't'. Factor a trinomial. (3 + -1t)(1 + 7t) = 0Subproblem 1
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Subproblem 2
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 = -0.1428571429Solution
t = {3, -0.1428571429}
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