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Simplifying 3t2 + -40t + 112 = 0 Reorder the terms: 112 + -40t + 3t2 = 0 Solving 112 + -40t + 3t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + -1t)(28 + -3t) = 0Subproblem 1
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Subproblem 2
Set the factor '(28 + -3t)' equal to zero and attempt to solve: Simplifying 28 + -3t = 0 Solving 28 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -3t = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3t = 0 + -28 -3t = 0 + -28 Combine like terms: 0 + -28 = -28 -3t = -28 Divide each side by '-3'. t = 9.333333333 Simplifying t = 9.333333333Solution
t = {4, 9.333333333}
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