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Simplifying 7t2 + -50t + 75 = 0 Reorder the terms: 75 + -50t + 7t2 = 0 Solving 75 + -50t + 7t2 = 0 Solving for variable 't'. Factor a trinomial. (15 + -7t)(5 + -1t) = 0Subproblem 1
Set the factor '(15 + -7t)' equal to zero and attempt to solve: Simplifying 15 + -7t = 0 Solving 15 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -7t = 0 + -15 -7t = 0 + -15 Combine like terms: 0 + -15 = -15 -7t = -15 Divide each side by '-7'. t = 2.142857143 Simplifying t = 2.142857143Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 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 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Solution
t = {2.142857143, 5}
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