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Simplifying 49t2 + -126t + 81 = 0 Reorder the terms: 81 + -126t + 49t2 = 0 Solving 81 + -126t + 49t2 = 0 Solving for variable 't'. Factor a trinomial. (9 + -7t)(9 + -7t) = 0Subproblem 1
Set the factor '(9 + -7t)' equal to zero and attempt to solve: Simplifying 9 + -7t = 0 Solving 9 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7t = 0 + -9 -7t = 0 + -9 Combine like terms: 0 + -9 = -9 -7t = -9 Divide each side by '-7'. t = 1.285714286 Simplifying t = 1.285714286Subproblem 2
Set the factor '(9 + -7t)' equal to zero and attempt to solve: Simplifying 9 + -7t = 0 Solving 9 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7t = 0 + -9 -7t = 0 + -9 Combine like terms: 0 + -9 = -9 -7t = -9 Divide each side by '-7'. t = 1.285714286 Simplifying t = 1.285714286Solution
t = {1.285714286, 1.285714286}
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