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Simplifying 7t2 + 8 = 15t Reorder the terms: 8 + 7t2 = 15t Solving 8 + 7t2 = 15t Solving for variable 't'. Reorder the terms: 8 + -15t + 7t2 = 15t + -15t Combine like terms: 15t + -15t = 0 8 + -15t + 7t2 = 0 Factor a trinomial. (1 + -1t)(8 + -7t) = 0Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 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 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Subproblem 2
Set the factor '(8 + -7t)' equal to zero and attempt to solve: Simplifying 8 + -7t = 0 Solving 8 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7t = 0 + -8 -7t = 0 + -8 Combine like terms: 0 + -8 = -8 -7t = -8 Divide each side by '-7'. t = 1.142857143 Simplifying t = 1.142857143Solution
t = {1, 1.142857143}
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