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Simplifying -6t2 + 5t + 56 = 0 Reorder the terms: 56 + 5t + -6t2 = 0 Solving 56 + 5t + -6t2 = 0 Solving for variable 't'. Factor a trinomial. (7 + -2t)(8 + 3t) = 0Subproblem 1
Set the factor '(7 + -2t)' equal to zero and attempt to solve: Simplifying 7 + -2t = 0 Solving 7 + -2t = 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 + -2t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2t = 0 + -7 -2t = 0 + -7 Combine like terms: 0 + -7 = -7 -2t = -7 Divide each side by '-2'. t = 3.5 Simplifying t = 3.5Subproblem 2
Set the factor '(8 + 3t)' equal to zero and attempt to solve: Simplifying 8 + 3t = 0 Solving 8 + 3t = 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 + 3t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3t = 0 + -8 3t = 0 + -8 Combine like terms: 0 + -8 = -8 3t = -8 Divide each side by '3'. t = -2.666666667 Simplifying t = -2.666666667Solution
t = {3.5, -2.666666667}
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