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Simplifying 25q2 + -40qt + 16t2 = 0 Reorder the terms: -40qt + 25q2 + 16t2 = 0 Solving -40qt + 25q2 + 16t2 = 0 Solving for variable 'q'. Factor a trinomial. (5q + -4t)(5q + -4t) = 0Subproblem 1
Set the factor '(5q + -4t)' equal to zero and attempt to solve: Simplifying 5q + -4t = 0 Solving 5q + -4t = 0 Move all terms containing q to the left, all other terms to the right. Add '4t' to each side of the equation. 5q + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 5q + 0 = 0 + 4t 5q = 0 + 4t Remove the zero: 5q = 4t Divide each side by '5'. q = 0.8t Simplifying q = 0.8tSubproblem 2
Set the factor '(5q + -4t)' equal to zero and attempt to solve: Simplifying 5q + -4t = 0 Solving 5q + -4t = 0 Move all terms containing q to the left, all other terms to the right. Add '4t' to each side of the equation. 5q + -4t + 4t = 0 + 4t Combine like terms: -4t + 4t = 0 5q + 0 = 0 + 4t 5q = 0 + 4t Remove the zero: 5q = 4t Divide each side by '5'. q = 0.8t Simplifying q = 0.8tSolution
q = {0.8t, 0.8t}
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