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Simplifying 112 = 8t + 5t2 Solving 112 = 8t + 5t2 Solving for variable 't'. Reorder the terms: 112 + -8t + -5t2 = 8t + -8t + 5t2 + -5t2 Combine like terms: 8t + -8t = 0 112 + -8t + -5t2 = 0 + 5t2 + -5t2 112 + -8t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 112 + -8t + -5t2 = 0 Factor a trinomial. (4 + -1t)(28 + 5t) = 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 + 5t)' equal to zero and attempt to solve: Simplifying 28 + 5t = 0 Solving 28 + 5t = 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 + 5t = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 5t = 0 + -28 5t = 0 + -28 Combine like terms: 0 + -28 = -28 5t = -28 Divide each side by '5'. t = -5.6 Simplifying t = -5.6Solution
t = {4, -5.6}
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