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Simplifying Q3 + -12Q2 + 60Q = 0 Reorder the terms: 60Q + -12Q2 + Q3 = 0 Solving 60Q + -12Q2 + Q3 = 0 Solving for variable 'Q'. Factor out the Greatest Common Factor (GCF), 'Q'. Q(60 + -12Q + Q2) = 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 '(60 + -12Q + Q2)' equal to zero and attempt to solve: Simplifying 60 + -12Q + Q2 = 0 Solving 60 + -12Q + Q2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + -12Q + -60 + Q2 = 0 + -60 Reorder the terms: 60 + -60 + -12Q + Q2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -12Q + Q2 = 0 + -60 -12Q + Q2 = 0 + -60 Combine like terms: 0 + -60 = -60 -12Q + Q2 = -60 The Q term is -12Q. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12Q + 36 + Q2 = -60 + 36 Reorder the terms: 36 + -12Q + Q2 = -60 + 36 Combine like terms: -60 + 36 = -24 36 + -12Q + Q2 = -24 Factor a perfect square on the left side: (Q + -6)(Q + -6) = -24 Can't calculate square root of the right side. 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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