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Simplifying q7 + -9q5 = 0 Reorder the terms: -9q5 + q7 = 0 Solving -9q5 + q7 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q5'. q5(-9 + q2) = 0 Factor a difference between two squares. q5((3 + q)(-3 + q)) = 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 '(3 + q)' equal to zero and attempt to solve: Simplifying 3 + q = 0 Solving 3 + q = 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 + q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + q = 0 + -3 q = 0 + -3 Combine like terms: 0 + -3 = -3 q = -3 Simplifying q = -3Subproblem 3
Set the factor '(-3 + q)' equal to zero and attempt to solve: Simplifying -3 + q = 0 Solving -3 + q = 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 + q = 0 + 3 Combine like terms: -3 + 3 = 0 0 + q = 0 + 3 q = 0 + 3 Combine like terms: 0 + 3 = 3 q = 3 Simplifying q = 3Solution
q = {-3, 3}
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