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Simplifying -3q2 + 5q + -12 = 0 Reorder the terms: -12 + 5q + -3q2 = 0 Solving -12 + 5q + -3q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 4 + -1.666666667q + q2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1.666666667q + -4 + q2 = 0 + -4 Reorder the terms: 4 + -4 + -1.666666667q + q2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1.666666667q + q2 = 0 + -4 -1.666666667q + q2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1.666666667q + q2 = -4 The q term is -1.666666667q. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667q + 0.6944444447 + q2 = -4 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667q + q2 = -4 + 0.6944444447 Combine like terms: -4 + 0.6944444447 = -3.3055555553 0.6944444447 + -1.666666667q + q2 = -3.3055555553 Factor a perfect square on the left side: (q + -0.8333333335)(q + -0.8333333335) = -3.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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