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Simplifying 0 = q2 + -2q + 2 Reorder the terms: 0 = 2 + -2q + q2 Solving 0 = 2 + -2q + q2 Solving for variable 'q'. Combine like terms: 0 + -2 = -2 -2 + 2q + -1q2 = 2 + -2q + q2 + -2 + 2q + -1q2 Reorder the terms: -2 + 2q + -1q2 = 2 + -2 + -2q + 2q + q2 + -1q2 Combine like terms: 2 + -2 = 0 -2 + 2q + -1q2 = 0 + -2q + 2q + q2 + -1q2 -2 + 2q + -1q2 = -2q + 2q + q2 + -1q2 Combine like terms: -2q + 2q = 0 -2 + 2q + -1q2 = 0 + q2 + -1q2 -2 + 2q + -1q2 = q2 + -1q2 Combine like terms: q2 + -1q2 = 0 -2 + 2q + -1q2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 2 + -2q + q2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2q + -2 + q2 = 0 + -2 Reorder the terms: 2 + -2 + -2q + q2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2q + q2 = 0 + -2 -2q + q2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2q + q2 = -2 The q term is -2q. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2q + 1 + q2 = -2 + 1 Reorder the terms: 1 + -2q + q2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2q + q2 = -1 Factor a perfect square on the left side: (q + -1)(q + -1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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