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Simplifying 12 = 17t + -5t2 Solving 12 = 17t + -5t2 Solving for variable 't'. Reorder the terms: 12 + -17t + 5t2 = 17t + -17t + -5t2 + 5t2 Combine like terms: 17t + -17t = 0 12 + -17t + 5t2 = 0 + -5t2 + 5t2 12 + -17t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 12 + -17t + 5t2 = 0 Factor a trinomial. (1 + -1t)(12 + -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 '(12 + -5t)' equal to zero and attempt to solve: Simplifying 12 + -5t = 0 Solving 12 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5t = 0 + -12 -5t = 0 + -12 Combine like terms: 0 + -12 = -12 -5t = -12 Divide each side by '-5'. t = 2.4 Simplifying t = 2.4Solution
t = {1, 2.4}
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