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Simplifying 9q17 = 4q5 Solving 9q17 = 4q5 Solving for variable 'q'. Reorder the terms: -4q5 + 9q17 = 4q5 + -4q5 Combine like terms: 4q5 + -4q5 = 0 -4q5 + 9q17 = 0 Factor out the Greatest Common Factor (GCF), 'q5'. q5(-4 + 9q12) = 0 Factor a difference between two squares. q5((2 + 3q6)(-2 + 3q6)) = 0Subproblem 1
Set the factor 'q5' equal to zero and attempt to solve: Simplifying q5 = 0 Solving q5 = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + 3q6)' equal to zero and attempt to solve: Simplifying 2 + 3q6 = 0 Solving 2 + 3q6 = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3q6 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3q6 = 0 + -2 3q6 = 0 + -2 Combine like terms: 0 + -2 = -2 3q6 = -2 Divide each side by '3'. q6 = -0.6666666667 Simplifying q6 = -0.6666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2 + 3q6)' equal to zero and attempt to solve: Simplifying -2 + 3q6 = 0 Solving -2 + 3q6 = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3q6 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3q6 = 0 + 2 3q6 = 0 + 2 Combine like terms: 0 + 2 = 2 3q6 = 2 Divide each side by '3'. q6 = 0.6666666667 Simplifying q6 = 0.6666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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