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Simplifying Q3 + -18Q2 + 750Q = 0 Reorder the terms: 750Q + -18Q2 + Q3 = 0 Solving 750Q + -18Q2 + Q3 = 0 Solving for variable 'Q'. Factor out the Greatest Common Factor (GCF), 'Q'. Q(750 + -18Q + 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 '(750 + -18Q + Q2)' equal to zero and attempt to solve: Simplifying 750 + -18Q + Q2 = 0 Solving 750 + -18Q + Q2 = 0 Begin completing the square. Move the constant term to the right: Add '-750' to each side of the equation. 750 + -18Q + -750 + Q2 = 0 + -750 Reorder the terms: 750 + -750 + -18Q + Q2 = 0 + -750 Combine like terms: 750 + -750 = 0 0 + -18Q + Q2 = 0 + -750 -18Q + Q2 = 0 + -750 Combine like terms: 0 + -750 = -750 -18Q + Q2 = -750 The Q term is -18Q. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18Q + 81 + Q2 = -750 + 81 Reorder the terms: 81 + -18Q + Q2 = -750 + 81 Combine like terms: -750 + 81 = -669 81 + -18Q + Q2 = -669 Factor a perfect square on the left side: (Q + -9)(Q + -9) = -669 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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