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Simplifying -1q2 + 3q + -4 = 0 Reorder the terms: -4 + 3q + -1q2 = 0 Solving -4 + 3q + -1q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 4 + -3q + q2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3q + -4 + q2 = 0 + -4 Reorder the terms: 4 + -4 + -3q + q2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3q + q2 = 0 + -4 -3q + q2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3q + q2 = -4 The q term is -3q. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3q + 2.25 + q2 = -4 + 2.25 Reorder the terms: 2.25 + -3q + q2 = -4 + 2.25 Combine like terms: -4 + 2.25 = -1.75 2.25 + -3q + q2 = -1.75 Factor a perfect square on the left side: (q + -1.5)(q + -1.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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