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Simplifying 9t2 + 9t + -28 = 0 Reorder the terms: -28 + 9t + 9t2 = 0 Solving -28 + 9t + 9t2 = 0 Solving for variable 't'. Factor a trinomial. (-7 + -3t)(4 + -3t) = 0Subproblem 1
Set the factor '(-7 + -3t)' equal to zero and attempt to solve: Simplifying -7 + -3t = 0 Solving -7 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3t = 0 + 7 -3t = 0 + 7 Combine like terms: 0 + 7 = 7 -3t = 7 Divide each side by '-3'. t = -2.333333333 Simplifying t = -2.333333333Subproblem 2
Set the factor '(4 + -3t)' equal to zero and attempt to solve: Simplifying 4 + -3t = 0 Solving 4 + -3t = 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 + -3t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = 0 + -4 -3t = 0 + -4 Combine like terms: 0 + -4 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333Solution
t = {-2.333333333, 1.333333333}
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