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Simplifying 56q2 + -19qt + -15t2 = 0 Reorder the terms: -19qt + 56q2 + -15t2 = 0 Solving -19qt + 56q2 + -15t2 = 0 Solving for variable 'q'. Factor a trinomial. (7q + -5t)(8q + 3t) = 0Subproblem 1
Set the factor '(7q + -5t)' equal to zero and attempt to solve: Simplifying 7q + -5t = 0 Solving 7q + -5t = 0 Move all terms containing q to the left, all other terms to the right. Add '5t' to each side of the equation. 7q + -5t + 5t = 0 + 5t Combine like terms: -5t + 5t = 0 7q + 0 = 0 + 5t 7q = 0 + 5t Remove the zero: 7q = 5t Divide each side by '7'. q = 0.7142857143t Simplifying q = 0.7142857143tSubproblem 2
Set the factor '(8q + 3t)' equal to zero and attempt to solve: Simplifying 8q + 3t = 0 Solving 8q + 3t = 0 Move all terms containing q to the left, all other terms to the right. Add '-3t' to each side of the equation. 8q + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 8q + 0 = 0 + -3t 8q = 0 + -3t Remove the zero: 8q = -3t Divide each side by '8'. q = -0.375t Simplifying q = -0.375tSolution
q = {0.7142857143t, -0.375t}
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