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Simplifying 4t2 = 12t + -9 Reorder the terms: 4t2 = -9 + 12t Solving 4t2 = -9 + 12t Solving for variable 't'. Reorder the terms: 9 + -12t + 4t2 = -9 + 12t + 9 + -12t Reorder the terms: 9 + -12t + 4t2 = -9 + 9 + 12t + -12t Combine like terms: -9 + 9 = 0 9 + -12t + 4t2 = 0 + 12t + -12t 9 + -12t + 4t2 = 12t + -12t Combine like terms: 12t + -12t = 0 9 + -12t + 4t2 = 0 Factor a trinomial. (3 + -2t)(3 + -2t) = 0Subproblem 1
Set the factor '(3 + -2t)' equal to zero and attempt to solve: Simplifying 3 + -2t = 0 Solving 3 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 0 + -3 -2t = 0 + -3 Combine like terms: 0 + -3 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5Subproblem 2
Set the factor '(3 + -2t)' equal to zero and attempt to solve: Simplifying 3 + -2t = 0 Solving 3 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 0 + -3 -2t = 0 + -3 Combine like terms: 0 + -3 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5Solution
t = {1.5, 1.5}
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