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Simplifying 30q2 + -19qt + -63t2 = 0 Reorder the terms: -19qt + 30q2 + -63t2 = 0 Solving -19qt + 30q2 + -63t2 = 0 Solving for variable 'q'. Factor a trinomial. (5q + -9t)(6q + 7t) = 0Subproblem 1
Set the factor '(5q + -9t)' equal to zero and attempt to solve: Simplifying 5q + -9t = 0 Solving 5q + -9t = 0 Move all terms containing q to the left, all other terms to the right. Add '9t' to each side of the equation. 5q + -9t + 9t = 0 + 9t Combine like terms: -9t + 9t = 0 5q + 0 = 0 + 9t 5q = 0 + 9t Remove the zero: 5q = 9t Divide each side by '5'. q = 1.8t Simplifying q = 1.8tSubproblem 2
Set the factor '(6q + 7t)' equal to zero and attempt to solve: Simplifying 6q + 7t = 0 Solving 6q + 7t = 0 Move all terms containing q to the left, all other terms to the right. Add '-7t' to each side of the equation. 6q + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 6q + 0 = 0 + -7t 6q = 0 + -7t Remove the zero: 6q = -7t Divide each side by '6'. q = -1.166666667t Simplifying q = -1.166666667tSolution
q = {1.8t, -1.166666667t}
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