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Simplifying q2 + -8q + 30 = 0 Reorder the terms: 30 + -8q + q2 = 0 Solving 30 + -8q + q2 = 0 Solving for variable 'q'. Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -8q + -30 + q2 = 0 + -30 Reorder the terms: 30 + -30 + -8q + q2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -8q + q2 = 0 + -30 -8q + q2 = 0 + -30 Combine like terms: 0 + -30 = -30 -8q + q2 = -30 The q term is -8q. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8q + 16 + q2 = -30 + 16 Reorder the terms: 16 + -8q + q2 = -30 + 16 Combine like terms: -30 + 16 = -14 16 + -8q + q2 = -14 Factor a perfect square on the left side: (q + -4)(q + -4) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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