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Simplifying 10t2 + -41t + -18 = 0 Reorder the terms: -18 + -41t + 10t2 = 0 Solving -18 + -41t + 10t2 = 0 Solving for variable 't'. Factor a trinomial. (-2 + -5t)(9 + -2t) = 0Subproblem 1
Set the factor '(-2 + -5t)' equal to zero and attempt to solve: Simplifying -2 + -5t = 0 Solving -2 + -5t = 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 + -5t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5t = 0 + 2 -5t = 0 + 2 Combine like terms: 0 + 2 = 2 -5t = 2 Divide each side by '-5'. t = -0.4 Simplifying t = -0.4Subproblem 2
Set the factor '(9 + -2t)' equal to zero and attempt to solve: Simplifying 9 + -2t = 0 Solving 9 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2t = 0 + -9 -2t = 0 + -9 Combine like terms: 0 + -9 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5Solution
t = {-0.4, 4.5}
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