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Simplifying 16t2 + 40tx + 25x2 = 0 Reorder the terms: 40tx + 16t2 + 25x2 = 0 Solving 40tx + 16t2 + 25x2 = 0 Solving for variable 't'. Factor a trinomial. (4t + 5x)(4t + 5x) = 0Subproblem 1
Set the factor '(4t + 5x)' equal to zero and attempt to solve: Simplifying 4t + 5x = 0 Solving 4t + 5x = 0 Move all terms containing t to the left, all other terms to the right. Add '-5x' to each side of the equation. 4t + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 4t + 0 = 0 + -5x 4t = 0 + -5x Remove the zero: 4t = -5x Divide each side by '4'. t = -1.25x Simplifying t = -1.25xSubproblem 2
Set the factor '(4t + 5x)' equal to zero and attempt to solve: Simplifying 4t + 5x = 0 Solving 4t + 5x = 0 Move all terms containing t to the left, all other terms to the right. Add '-5x' to each side of the equation. 4t + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 4t + 0 = 0 + -5x 4t = 0 + -5x Remove the zero: 4t = -5x Divide each side by '4'. t = -1.25x Simplifying t = -1.25xSolution
t = {-1.25x, -1.25x}
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