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Simplifying (11t + 9)(2t + -5) = 0 Reorder the terms: (9 + 11t)(2t + -5) = 0 Reorder the terms: (9 + 11t)(-5 + 2t) = 0 Multiply (9 + 11t) * (-5 + 2t) (9(-5 + 2t) + 11t * (-5 + 2t)) = 0 ((-5 * 9 + 2t * 9) + 11t * (-5 + 2t)) = 0 ((-45 + 18t) + 11t * (-5 + 2t)) = 0 (-45 + 18t + (-5 * 11t + 2t * 11t)) = 0 (-45 + 18t + (-55t + 22t2)) = 0 Combine like terms: 18t + -55t = -37t (-45 + -37t + 22t2) = 0 Solving -45 + -37t + 22t2 = 0 Solving for variable 't'. Factor a trinomial. (-9 + -11t)(5 + -2t) = 0Subproblem 1
Set the factor '(-9 + -11t)' equal to zero and attempt to solve: Simplifying -9 + -11t = 0 Solving -9 + -11t = 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 + -11t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -11t = 0 + 9 -11t = 0 + 9 Combine like terms: 0 + 9 = 9 -11t = 9 Divide each side by '-11'. t = -0.8181818182 Simplifying t = -0.8181818182Subproblem 2
Set the factor '(5 + -2t)' equal to zero and attempt to solve: Simplifying 5 + -2t = 0 Solving 5 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 0 + -5 -2t = 0 + -5 Combine like terms: 0 + -5 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5Solution
t = {-0.8181818182, 2.5}
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