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Simplifying 4t2 + 12tx + 9x2 = 0 Reorder the terms: 12tx + 4t2 + 9x2 = 0 Solving 12tx + 4t2 + 9x2 = 0 Solving for variable 't'. Factor a trinomial. (2t + 3x)(2t + 3x) = 0Subproblem 1
Set the factor '(2t + 3x)' equal to zero and attempt to solve: Simplifying 2t + 3x = 0 Solving 2t + 3x = 0 Move all terms containing t to the left, all other terms to the right. Add '-3x' to each side of the equation. 2t + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 2t + 0 = 0 + -3x 2t = 0 + -3x Remove the zero: 2t = -3x Divide each side by '2'. t = -1.5x Simplifying t = -1.5xSubproblem 2
Set the factor '(2t + 3x)' equal to zero and attempt to solve: Simplifying 2t + 3x = 0 Solving 2t + 3x = 0 Move all terms containing t to the left, all other terms to the right. Add '-3x' to each side of the equation. 2t + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 2t + 0 = 0 + -3x 2t = 0 + -3x Remove the zero: 2t = -3x Divide each side by '2'. t = -1.5x Simplifying t = -1.5xSolution
t = {-1.5x, -1.5x}
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