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Simplifying 0 = 8Q + -1Q2 Solving 0 = 8Q + -1Q2 Solving for variable 'Q'. Remove the zero: -8Q + Q2 = 8Q + -1Q2 + -8Q + Q2 Reorder the terms: -8Q + Q2 = 8Q + -8Q + -1Q2 + Q2 Combine like terms: 8Q + -8Q = 0 -8Q + Q2 = 0 + -1Q2 + Q2 -8Q + Q2 = -1Q2 + Q2 Combine like terms: -1Q2 + Q2 = 0 -8Q + Q2 = 0 Factor out the Greatest Common Factor (GCF), 'Q'. Q(-8 + 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 '(-8 + Q)' equal to zero and attempt to solve: Simplifying -8 + Q = 0 Solving -8 + Q = 0 Move all terms containing Q to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + Q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + Q = 0 + 8 Q = 0 + 8 Combine like terms: 0 + 8 = 8 Q = 8 Simplifying Q = 8Solution
Q = {0, 8}
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