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Simplifying 5t2 + -26t = -24 Reorder the terms: -26t + 5t2 = -24 Solving -26t + 5t2 = -24 Solving for variable 't'. Reorder the terms: 24 + -26t + 5t2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + -26t + 5t2 = 0 Factor a trinomial. (6 + -5t)(4 + -1t) = 0Subproblem 1
Set the factor '(6 + -5t)' equal to zero and attempt to solve: Simplifying 6 + -5t = 0 Solving 6 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = 0 + -6 -5t = 0 + -6 Combine like terms: 0 + -6 = -6 -5t = -6 Divide each side by '-5'. t = 1.2 Simplifying t = 1.2Subproblem 2
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 = 4Solution
t = {1.2, 4}
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