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Simplifying 56 + 15t + -56t2 = 0 Solving 56 + 15t + -56t2 = 0 Solving for variable 't'. Factor a trinomial. (8 + -7t)(7 + 8t) = 0Subproblem 1
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 = 1.142857143Subproblem 2
Set the factor '(7 + 8t)' equal to zero and attempt to solve: Simplifying 7 + 8t = 0 Solving 7 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8t = 0 + -7 8t = 0 + -7 Combine like terms: 0 + -7 = -7 8t = -7 Divide each side by '8'. t = -0.875 Simplifying t = -0.875Solution
t = {1.142857143, -0.875}
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