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Simplifying 20q2 + 13qt + -15t2 = 0 Reorder the terms: 13qt + 20q2 + -15t2 = 0 Solving 13qt + 20q2 + -15t2 = 0 Solving for variable 'q'. Factor a trinomial. (5q + -3t)(4q + 5t) = 0Subproblem 1
Set the factor '(5q + -3t)' equal to zero and attempt to solve: Simplifying 5q + -3t = 0 Solving 5q + -3t = 0 Move all terms containing q to the left, all other terms to the right. Add '3t' to each side of the equation. 5q + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 5q + 0 = 0 + 3t 5q = 0 + 3t Remove the zero: 5q = 3t Divide each side by '5'. q = 0.6t Simplifying q = 0.6tSubproblem 2
Set the factor '(4q + 5t)' equal to zero and attempt to solve: Simplifying 4q + 5t = 0 Solving 4q + 5t = 0 Move all terms containing q to the left, all other terms to the right. Add '-5t' to each side of the equation. 4q + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 4q + 0 = 0 + -5t 4q = 0 + -5t Remove the zero: 4q = -5t Divide each side by '4'. q = -1.25t Simplifying q = -1.25tSolution
q = {0.6t, -1.25t}
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