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Simplifying 7t2 + 2 = 15t Reorder the terms: 2 + 7t2 = 15t Solving 2 + 7t2 = 15t Solving for variable 't'. Reorder the terms: 2 + -15t + 7t2 = 15t + -15t Combine like terms: 15t + -15t = 0 2 + -15t + 7t2 = 0 Factor a trinomial. (1 + -7t)(2 + -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 '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {0.1428571429, 2}
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