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Simplifying 0 = -25t + 11t2 + -24 Reorder the terms: 0 = -24 + -25t + 11t2 Solving 0 = -24 + -25t + 11t2 Solving for variable 't'. Combine like terms: 0 + 24 = 24 24 + 25t + -11t2 = -24 + -25t + 11t2 + 24 + 25t + -11t2 Reorder the terms: 24 + 25t + -11t2 = -24 + 24 + -25t + 25t + 11t2 + -11t2 Combine like terms: -24 + 24 = 0 24 + 25t + -11t2 = 0 + -25t + 25t + 11t2 + -11t2 24 + 25t + -11t2 = -25t + 25t + 11t2 + -11t2 Combine like terms: -25t + 25t = 0 24 + 25t + -11t2 = 0 + 11t2 + -11t2 24 + 25t + -11t2 = 11t2 + -11t2 Combine like terms: 11t2 + -11t2 = 0 24 + 25t + -11t2 = 0 Factor a trinomial. (3 + -1t)(8 + 11t) = 0Subproblem 1
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Subproblem 2
Set the factor '(8 + 11t)' equal to zero and attempt to solve: Simplifying 8 + 11t = 0 Solving 8 + 11t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 11t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 11t = 0 + -8 11t = 0 + -8 Combine like terms: 0 + -8 = -8 11t = -8 Divide each side by '11'. t = -0.7272727273 Simplifying t = -0.7272727273Solution
t = {3, -0.7272727273}
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