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Simplifying 9t2 + 24tx + 16x2 = 0 Reorder the terms: 24tx + 9t2 + 16x2 = 0 Solving 24tx + 9t2 + 16x2 = 0 Solving for variable 't'. Factor a trinomial. (3t + 4x)(3t + 4x) = 0Subproblem 1
Set the factor '(3t + 4x)' equal to zero and attempt to solve: Simplifying 3t + 4x = 0 Solving 3t + 4x = 0 Move all terms containing t to the left, all other terms to the right. Add '-4x' to each side of the equation. 3t + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 3t + 0 = 0 + -4x 3t = 0 + -4x Remove the zero: 3t = -4x Divide each side by '3'. t = -1.333333333x Simplifying t = -1.333333333xSubproblem 2
Set the factor '(3t + 4x)' equal to zero and attempt to solve: Simplifying 3t + 4x = 0 Solving 3t + 4x = 0 Move all terms containing t to the left, all other terms to the right. Add '-4x' to each side of the equation. 3t + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 3t + 0 = 0 + -4x 3t = 0 + -4x Remove the zero: 3t = -4x Divide each side by '3'. t = -1.333333333x Simplifying t = -1.333333333xSolution
t = {-1.333333333x, -1.333333333x}
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