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Simplifying 5t2 + -2t + -24 = 0 Reorder the terms: -24 + -2t + 5t2 = 0 Solving -24 + -2t + 5t2 = 0 Solving for variable 't'. 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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