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Simplifying 7t2 + -20t = 3 Reorder the terms: -20t + 7t2 = 3 Solving -20t + 7t2 = 3 Solving for variable 't'. Reorder the terms: -3 + -20t + 7t2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -20t + 7t2 = 0 Factor a trinomial. (-1 + -7t)(3 + -1t) = 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 '(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 = 3Solution
t = {-0.1428571429, 3}
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