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Simplifying 56q2 + -19qv + -15v2 = 0 Reorder the terms: -19qv + 56q2 + -15v2 = 0 Solving -19qv + 56q2 + -15v2 = 0 Solving for variable 'q'. Factor a trinomial. (7q + -5v)(8q + 3v) = 0Subproblem 1
Set the factor '(7q + -5v)' equal to zero and attempt to solve: Simplifying 7q + -5v = 0 Solving 7q + -5v = 0 Move all terms containing q to the left, all other terms to the right. Add '5v' to each side of the equation. 7q + -5v + 5v = 0 + 5v Combine like terms: -5v + 5v = 0 7q + 0 = 0 + 5v 7q = 0 + 5v Remove the zero: 7q = 5v Divide each side by '7'. q = 0.7142857143v Simplifying q = 0.7142857143vSubproblem 2
Set the factor '(8q + 3v)' equal to zero and attempt to solve: Simplifying 8q + 3v = 0 Solving 8q + 3v = 0 Move all terms containing q to the left, all other terms to the right. Add '-3v' to each side of the equation. 8q + 3v + -3v = 0 + -3v Combine like terms: 3v + -3v = 0 8q + 0 = 0 + -3v 8q = 0 + -3v Remove the zero: 8q = -3v Divide each side by '8'. q = -0.375v Simplifying q = -0.375vSolution
q = {0.7142857143v, -0.375v}
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