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Simplifying -1Q2 + 16Q + -275 = 0 Reorder the terms: -275 + 16Q + -1Q2 = 0 Solving -275 + 16Q + -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'. 275 + -16Q + Q2 = 0 Move the constant term to the right: Add '-275' to each side of the equation. 275 + -16Q + -275 + Q2 = 0 + -275 Reorder the terms: 275 + -275 + -16Q + Q2 = 0 + -275 Combine like terms: 275 + -275 = 0 0 + -16Q + Q2 = 0 + -275 -16Q + Q2 = 0 + -275 Combine like terms: 0 + -275 = -275 -16Q + Q2 = -275 The Q term is -16Q. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16Q + 64 + Q2 = -275 + 64 Reorder the terms: 64 + -16Q + Q2 = -275 + 64 Combine like terms: -275 + 64 = -211 64 + -16Q + Q2 = -211 Factor a perfect square on the left side: (Q + -8)(Q + -8) = -211 Can't calculate square root of the right side. The solution to this equation could not be determined.
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