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Simplifying 0 = 1755 + -6q + q2 Solving 0 = 1755 + -6q + q2 Solving for variable 'q'. Combine like terms: 0 + -1755 = -1755 -1755 + 6q + -1q2 = 1755 + -6q + q2 + -1755 + 6q + -1q2 Reorder the terms: -1755 + 6q + -1q2 = 1755 + -1755 + -6q + 6q + q2 + -1q2 Combine like terms: 1755 + -1755 = 0 -1755 + 6q + -1q2 = 0 + -6q + 6q + q2 + -1q2 -1755 + 6q + -1q2 = -6q + 6q + q2 + -1q2 Combine like terms: -6q + 6q = 0 -1755 + 6q + -1q2 = 0 + q2 + -1q2 -1755 + 6q + -1q2 = q2 + -1q2 Combine like terms: q2 + -1q2 = 0 -1755 + 6q + -1q2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 1755 + -6q + q2 = 0 Move the constant term to the right: Add '-1755' to each side of the equation. 1755 + -6q + -1755 + q2 = 0 + -1755 Reorder the terms: 1755 + -1755 + -6q + q2 = 0 + -1755 Combine like terms: 1755 + -1755 = 0 0 + -6q + q2 = 0 + -1755 -6q + q2 = 0 + -1755 Combine like terms: 0 + -1755 = -1755 -6q + q2 = -1755 The q term is -6q. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6q + 9 + q2 = -1755 + 9 Reorder the terms: 9 + -6q + q2 = -1755 + 9 Combine like terms: -1755 + 9 = -1746 9 + -6q + q2 = -1746 Factor a perfect square on the left side: (q + -3)(q + -3) = -1746 Can't calculate square root of the right side. The solution to this equation could not be determined.
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