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Simplifying 9x2 + 24xt + 16t2 = 0 Reorder the terms: 24tx + 16t2 + 9x2 = 0 Solving 24tx + 16t2 + 9x2 = 0 Solving for variable 't'. Factor a trinomial. (4t + 3x)(4t + 3x) = 0Subproblem 1
Set the factor '(4t + 3x)' equal to zero and attempt to solve: Simplifying 4t + 3x = 0 Solving 4t + 3x = 0 Move all terms containing t to the left, all other terms to the right. Add '-3x' to each side of the equation. 4t + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 4t + 0 = 0 + -3x 4t = 0 + -3x Remove the zero: 4t = -3x Divide each side by '4'. t = -0.75x Simplifying t = -0.75xSubproblem 2
Set the factor '(4t + 3x)' equal to zero and attempt to solve: Simplifying 4t + 3x = 0 Solving 4t + 3x = 0 Move all terms containing t to the left, all other terms to the right. Add '-3x' to each side of the equation. 4t + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 4t + 0 = 0 + -3x 4t = 0 + -3x Remove the zero: 4t = -3x Divide each side by '4'. t = -0.75x Simplifying t = -0.75xSolution
t = {-0.75x, -0.75x}
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