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Simplifying 28 = 33t + -5t2 Solving 28 = 33t + -5t2 Solving for variable 't'. Reorder the terms: 28 + -33t + 5t2 = 33t + -33t + -5t2 + 5t2 Combine like terms: 33t + -33t = 0 28 + -33t + 5t2 = 0 + -5t2 + 5t2 28 + -33t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 28 + -33t + 5t2 = 0 Factor a trinomial. (1 + -1t)(28 + -5t) = 0Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Subproblem 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 = {1, 5.6}
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