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Simplifying 17Q + -14QX = 11Q Solving 17Q + -14QX = 11Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-11Q' to each side of the equation. 17Q + -11Q + -14QX = 11Q + -11Q Combine like terms: 17Q + -11Q = 6Q 6Q + -14QX = 11Q + -11Q Combine like terms: 11Q + -11Q = 0 6Q + -14QX = 0 Factor out the Greatest Common Factor (GCF), '2Q'. 2Q(3 + -7X) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'Q' equal to zero and attempt to solve: Simplifying Q = 0 Solving Q = 0 Move all terms containing Q to the left, all other terms to the right. Simplifying Q = 0Subproblem 2
Set the factor '(3 + -7X)' equal to zero and attempt to solve: Simplifying 3 + -7X = 0 Solving 3 + -7X = 0 Move all terms containing Q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7X = 0 + -3 -7X = 0 + -3 Combine like terms: 0 + -3 = -3 -7X = -3 Add '7X' to each side of the equation. -7X + 7X = -3 + 7X Combine like terms: -7X + 7X = 0 0 = -3 + 7X Simplifying 0 = -3 + 7X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
Q = {0}
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