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Simplifying 24 = 2t + 5t2 Solving 24 = 2t + 5t2 Solving for variable 't'. Reorder the terms: 24 + -2t + -5t2 = 2t + -2t + 5t2 + -5t2 Combine like terms: 2t + -2t = 0 24 + -2t + -5t2 = 0 + 5t2 + -5t2 24 + -2t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 24 + -2t + -5t2 = 0 Factor a trinomial. (2 + -1t)(12 + 5t) = 0Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Subproblem 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 = {2, -2.4}
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