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Simplifying 3q2 + -12q = -20 Reorder the terms: -12q + 3q2 = -20 Solving -12q + 3q2 = -20 Solving for variable 'q'. Reorder the terms: 20 + -12q + 3q2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + -12q + 3q2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6.666666667 + -4q + q2 = 0 Move the constant term to the right: Add '-6.666666667' to each side of the equation. 6.666666667 + -4q + -6.666666667 + q2 = 0 + -6.666666667 Reorder the terms: 6.666666667 + -6.666666667 + -4q + q2 = 0 + -6.666666667 Combine like terms: 6.666666667 + -6.666666667 = 0.000000000 0.000000000 + -4q + q2 = 0 + -6.666666667 -4q + q2 = 0 + -6.666666667 Combine like terms: 0 + -6.666666667 = -6.666666667 -4q + q2 = -6.666666667 The q term is -4q. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4q + 4 + q2 = -6.666666667 + 4 Reorder the terms: 4 + -4q + q2 = -6.666666667 + 4 Combine like terms: -6.666666667 + 4 = -2.666666667 4 + -4q + q2 = -2.666666667 Factor a perfect square on the left side: (q + -2)(q + -2) = -2.666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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