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Simplifying 27t2 + -12t + -7 = 0 Reorder the terms: -7 + -12t + 27t2 = 0 Solving -7 + -12t + 27t2 = 0 Solving for variable 't'. Factor a trinomial. (-1 + -3t)(7 + -9t) = 0Subproblem 1
Set the factor '(-1 + -3t)' equal to zero and attempt to solve: Simplifying -1 + -3t = 0 Solving -1 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3t = 0 + 1 -3t = 0 + 1 Combine like terms: 0 + 1 = 1 -3t = 1 Divide each side by '-3'. t = -0.3333333333 Simplifying t = -0.3333333333Subproblem 2
Set the factor '(7 + -9t)' equal to zero and attempt to solve: Simplifying 7 + -9t = 0 Solving 7 + -9t = 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 + -9t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9t = 0 + -7 -9t = 0 + -7 Combine like terms: 0 + -7 = -7 -9t = -7 Divide each side by '-9'. t = 0.7777777778 Simplifying t = 0.7777777778Solution
t = {-0.3333333333, 0.7777777778}
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