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Simplifying 35t2 + -71t + 24 = 0 Reorder the terms: 24 + -71t + 35t2 = 0 Solving 24 + -71t + 35t2 = 0 Solving for variable 't'. Factor a trinomial. (3 + -7t)(8 + -5t) = 0Subproblem 1
Set the factor '(3 + -7t)' equal to zero and attempt to solve: Simplifying 3 + -7t = 0 Solving 3 + -7t = 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 + -7t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7t = 0 + -3 -7t = 0 + -3 Combine like terms: 0 + -3 = -3 -7t = -3 Divide each side by '-7'. t = 0.4285714286 Simplifying t = 0.4285714286Subproblem 2
Set the factor '(8 + -5t)' equal to zero and attempt to solve: Simplifying 8 + -5t = 0 Solving 8 + -5t = 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 + -5t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5t = 0 + -8 -5t = 0 + -8 Combine like terms: 0 + -8 = -8 -5t = -8 Divide each side by '-5'. t = 1.6 Simplifying t = 1.6Solution
t = {0.4285714286, 1.6}
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