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Simplifying 2q2 + -1q + 14 = 0 Reorder the terms: 14 + -1q + 2q2 = 0 Solving 14 + -1q + 2q2 = 0 Solving for variable 'q'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7 + -0.5q + q2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -0.5q + -7 + q2 = 0 + -7 Reorder the terms: 7 + -7 + -0.5q + q2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -0.5q + q2 = 0 + -7 -0.5q + q2 = 0 + -7 Combine like terms: 0 + -7 = -7 -0.5q + q2 = -7 The q term is -0.5q. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5q + 0.0625 + q2 = -7 + 0.0625 Reorder the terms: 0.0625 + -0.5q + q2 = -7 + 0.0625 Combine like terms: -7 + 0.0625 = -6.9375 0.0625 + -0.5q + q2 = -6.9375 Factor a perfect square on the left side: (q + -0.25)(q + -0.25) = -6.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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