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Simplifying q2 + -7q + 0 = 0 Reorder the terms: 0 + -7q + q2 = 0 Remove the zero: -7q + q2 = 0 Solving -7q + q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(-7 + q) = 0Subproblem 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 '(-7 + q)' equal to zero and attempt to solve: Simplifying -7 + q = 0 Solving -7 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + q = 0 + 7 Combine like terms: -7 + 7 = 0 0 + q = 0 + 7 q = 0 + 7 Combine like terms: 0 + 7 = 7 q = 7 Simplifying q = 7Solution
q = {0, 7}
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