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Simplifying t(2t + 3) = 44 Reorder the terms: t(3 + 2t) = 44 (3 * t + 2t * t) = 44 (3t + 2t2) = 44 Solving 3t + 2t2 = 44 Solving for variable 't'. Reorder the terms: -44 + 3t + 2t2 = 44 + -44 Combine like terms: 44 + -44 = 0 -44 + 3t + 2t2 = 0 Factor a trinomial. (-11 + -2t)(4 + -1t) = 0Subproblem 1
Set the factor '(-11 + -2t)' equal to zero and attempt to solve: Simplifying -11 + -2t = 0 Solving -11 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2t = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2t = 0 + 11 -2t = 0 + 11 Combine like terms: 0 + 11 = 11 -2t = 11 Divide each side by '-2'. t = -5.5 Simplifying t = -5.5Subproblem 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 = {-5.5, 4}
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